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Finding the Fourth Proportional to 4,372.50, 6,557.21 and 1,410.83

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Solution

The fourth proportional to 4,372.50, 6,557.21 and 1,410.83 is: 2,115.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,372.50 : 6,557.21 = 1,410.83 : x
  2. Step 2: Convert to fraction form
    4,372.50/6,557.21 = 1,410.83/x
  3. Step 3: Cross multiply
    4,372.50x = 6,557.21 × 1,410.83
  4. Step 4: Simplify right side
    4,372.50x = 9,251,068.74
  5. Step 5: Solve for x
    x = 9,251,068.74/4,372.50
  6. Step 6: Final answer
    x = 2,115.74

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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.