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Finding the Fourth Proportional to 5,005.64, 7,509 and 2,082.32

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Solution

The fourth proportional to 5,005.64, 7,509 and 2,082.32 is: 3,123.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,005.64 : 7,509 = 2,082.32 : x
  2. Step 2: Convert to fraction form
    5,005.64/7,509 = 2,082.32/x
  3. Step 3: Cross multiply
    5,005.64x = 7,509 × 2,082.32
  4. Step 4: Simplify right side
    5,005.64x = 15,636,140.88
  5. Step 5: Solve for x
    x = 15,636,140.88/5,005.64
  6. Step 6: Final answer
    x = 3,123.70

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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.