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Finding the Fourth Proportional to 4,337.92, 6,506.34 and 1,415.98

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Solution

The fourth proportional to 4,337.92, 6,506.34 and 1,415.98 is: 2,123.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,337.92 : 6,506.34 = 1,415.98 : x
  2. Step 2: Convert to fraction form
    4,337.92/6,506.34 = 1,415.98/x
  3. Step 3: Cross multiply
    4,337.92x = 6,506.34 × 1,415.98
  4. Step 4: Simplify right side
    4,337.92x = 9,212,847.31
  5. Step 5: Solve for x
    x = 9,212,847.31/4,337.92
  6. Step 6: Final answer
    x = 2,123.79

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