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Finding the Fourth Proportional to 4,668.04, 7,006.54 and 2,071.88

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Solution

The fourth proportional to 4,668.04, 7,006.54 and 2,071.88 is: 3,109.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,668.04 : 7,006.54 = 2,071.88 : x
  2. Step 2: Convert to fraction form
    4,668.04/7,006.54 = 2,071.88/x
  3. Step 3: Cross multiply
    4,668.04x = 7,006.54 × 2,071.88
  4. Step 4: Simplify right side
    4,668.04x = 14,516,710.10
  5. Step 5: Solve for x
    x = 14,516,710.10/4,668.04
  6. Step 6: Final answer
    x = 3,109.81

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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.