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Finding the Fourth Proportional to 5,133.14, 7,700.10 and 3,489.02

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Solution

The fourth proportional to 5,133.14, 7,700.10 and 3,489.02 is: 5,233.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,133.14 : 7,700.10 = 3,489.02 : x
  2. Step 2: Convert to fraction form
    5,133.14/7,700.10 = 3,489.02/x
  3. Step 3: Cross multiply
    5,133.14x = 7,700.10 × 3,489.02
  4. Step 4: Simplify right side
    5,133.14x = 26,865,802.90
  5. Step 5: Solve for x
    x = 26,865,802.90/5,133.14
  6. Step 6: Final answer
    x = 5,233.80

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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.