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Finding the Fourth Proportional to 5,877,842.80, 8,816,764.20 and 1,618,668.40

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Solution

The fourth proportional to 5,877,842.80, 8,816,764.20 and 1,618,668.40 is: 2,428,002.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,877,842.80 : 8,816,764.20 = 1,618,668.40 : x
  2. Step 2: Convert to fraction form
    5,877,842.80/8,816,764.20 = 1,618,668.40/x
  3. Step 3: Cross multiply
    5,877,842.80x = 8,816,764.20 × 1,618,668.40
  4. Step 4: Simplify right side
    5,877,842.80x = 14,271,417,600,791.28
  5. Step 5: Solve for x
    x = 14,271,417,600,791.28/5,877,842.80
  6. Step 6: Final answer
    x = 2,428,002.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.