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Finding the Fourth Proportional to 4,333.77, 6,500.67 and 1,046.86

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Solution

The fourth proportional to 4,333.77, 6,500.67 and 1,046.86 is: 1,570.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,333.77 : 6,500.67 = 1,046.86 : x
  2. Step 2: Convert to fraction form
    4,333.77/6,500.67 = 1,046.86/x
  3. Step 3: Cross multiply
    4,333.77x = 6,500.67 × 1,046.86
  4. Step 4: Simplify right side
    4,333.77x = 6,805,287.20
  5. Step 5: Solve for x
    x = 6,805,287.20/4,333.77
  6. Step 6: Final answer
    x = 1,570.29

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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.