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Finding the Fourth Proportional to 5,154.72, 7,732.08 and 2,076

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Solution

The fourth proportional to 5,154.72, 7,732.08 and 2,076 is: 3,114

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,154.72 : 7,732.08 = 2,076 : x
  2. Step 2: Convert to fraction form
    5,154.72/7,732.08 = 2,076/x
  3. Step 3: Cross multiply
    5,154.72x = 7,732.08 × 2,076
  4. Step 4: Simplify right side
    5,154.72x = 16,051,798.08
  5. Step 5: Solve for x
    x = 16,051,798.08/5,154.72
  6. Step 6: Final answer
    x = 3,114

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.