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Finding the Fourth Proportional to 4,333.62, 6,500.42 and 1,046.70

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Solution

The fourth proportional to 4,333.62, 6,500.42 and 1,046.70 is: 1,570.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,333.62 : 6,500.42 = 1,046.70 : x
  2. Step 2: Convert to fraction form
    4,333.62/6,500.42 = 1,046.70/x
  3. Step 3: Cross multiply
    4,333.62x = 6,500.42 × 1,046.70
  4. Step 4: Simplify right side
    4,333.62x = 6,803,989.61
  5. Step 5: Solve for x
    x = 6,803,989.61/4,333.62
  6. Step 6: Final answer
    x = 1,570.05

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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.