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Finding the Fourth Proportional to 5,943.80, 8,904.90 and 4,842.20

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Solution

The fourth proportional to 5,943.80, 8,904.90 and 4,842.20 is: 7,254.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,943.80 : 8,904.90 = 4,842.20 : x
  2. Step 2: Convert to fraction form
    5,943.80/8,904.90 = 4,842.20/x
  3. Step 3: Cross multiply
    5,943.80x = 8,904.90 × 4,842.20
  4. Step 4: Simplify right side
    5,943.80x = 43,119,306.78
  5. Step 5: Solve for x
    x = 43,119,306.78/5,943.80
  6. Step 6: Final answer
    x = 7,254.50

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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.