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Finding the Fourth Proportional to 4,432.60, 6,658.02 and 4,285

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Solution

The fourth proportional to 4,432.60, 6,658.02 and 4,285 is: 6,436.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,432.60 : 6,658.02 = 4,285 : x
  2. Step 2: Convert to fraction form
    4,432.60/6,658.02 = 4,285/x
  3. Step 3: Cross multiply
    4,432.60x = 6,658.02 × 4,285
  4. Step 4: Simplify right side
    4,432.60x = 28,529,615.70
  5. Step 5: Solve for x
    x = 28,529,615.70/4,432.60
  6. Step 6: Final answer
    x = 6,436.32

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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.