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Finding the Fourth Proportional to 5,145.14, 7,711.51 and 2,368.01

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Solution

The fourth proportional to 5,145.14, 7,711.51 and 2,368.01 is: 3,549.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,145.14 : 7,711.51 = 2,368.01 : x
  2. Step 2: Convert to fraction form
    5,145.14/7,711.51 = 2,368.01/x
  3. Step 3: Cross multiply
    5,145.14x = 7,711.51 × 2,368.01
  4. Step 4: Simplify right side
    5,145.14x = 18,260,882.40
  5. Step 5: Solve for x
    x = 18,260,882.40/5,145.14
  6. Step 6: Final answer
    x = 3,549.16

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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.