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Finding the Fourth Proportional to 5,420.34, 7,487.10 and 4,006.89

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Solution

The fourth proportional to 5,420.34, 7,487.10 and 4,006.89 is: 5,534.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,420.34 : 7,487.10 = 4,006.89 : x
  2. Step 2: Convert to fraction form
    5,420.34/7,487.10 = 4,006.89/x
  3. Step 3: Cross multiply
    5,420.34x = 7,487.10 × 4,006.89
  4. Step 4: Simplify right side
    5,420.34x = 29,999,986.12
  5. Step 5: Solve for x
    x = 29,999,986.12/5,420.34
  6. Step 6: Final answer
    x = 5,534.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.