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Finding the Fourth Proportional to 4,668.17, 6,985.49 and 3,432.51

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Solution

The fourth proportional to 4,668.17, 6,985.49 and 3,432.51 is: 5,136.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,668.17 : 6,985.49 = 3,432.51 : x
  2. Step 2: Convert to fraction form
    4,668.17/6,985.49 = 3,432.51/x
  3. Step 3: Cross multiply
    4,668.17x = 6,985.49 × 3,432.51
  4. Step 4: Simplify right side
    4,668.17x = 23,977,747.12
  5. Step 5: Solve for x
    x = 23,977,747.12/4,668.17
  6. Step 6: Final answer
    x = 5,136.44

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