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Finding the Fourth Proportional to 4,491.20, 6,737.10 and 1,529.60

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Solution

The fourth proportional to 4,491.20, 6,737.10 and 1,529.60 is: 2,294.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,491.20 : 6,737.10 = 1,529.60 : x
  2. Step 2: Convert to fraction form
    4,491.20/6,737.10 = 1,529.60/x
  3. Step 3: Cross multiply
    4,491.20x = 6,737.10 × 1,529.60
  4. Step 4: Simplify right side
    4,491.20x = 10,305,068.16
  5. Step 5: Solve for x
    x = 10,305,068.16/4,491.20
  6. Step 6: Final answer
    x = 2,294.50

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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.