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Finding the Fourth Proportional to 4,154.65, 5,732.24 and 2,560.77

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Solution

The fourth proportional to 4,154.65, 5,732.24 and 2,560.77 is: 3,533.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,154.65 : 5,732.24 = 2,560.77 : x
  2. Step 2: Convert to fraction form
    4,154.65/5,732.24 = 2,560.77/x
  3. Step 3: Cross multiply
    4,154.65x = 5,732.24 × 2,560.77
  4. Step 4: Simplify right side
    4,154.65x = 14,678,935.42
  5. Step 5: Solve for x
    x = 14,678,935.42/4,154.65
  6. Step 6: Final answer
    x = 3,533.14

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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.