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Finding the Fourth Proportional to 3,345.68, 5,018.16 and 1,154.16

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Solution

The fourth proportional to 3,345.68, 5,018.16 and 1,154.16 is: 1,731.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,345.68 : 5,018.16 = 1,154.16 : x
  2. Step 2: Convert to fraction form
    3,345.68/5,018.16 = 1,154.16/x
  3. Step 3: Cross multiply
    3,345.68x = 5,018.16 × 1,154.16
  4. Step 4: Simplify right side
    3,345.68x = 5,791,759.55
  5. Step 5: Solve for x
    x = 5,791,759.55/3,345.68
  6. Step 6: Final answer
    x = 1,731.12

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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.