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Finding the Fourth Proportional to 4,277.32, 6,414.86 and 1,810.87

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Solution

The fourth proportional to 4,277.32, 6,414.86 and 1,810.87 is: 2,715.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,277.32 : 6,414.86 = 1,810.87 : x
  2. Step 2: Convert to fraction form
    4,277.32/6,414.86 = 1,810.87/x
  3. Step 3: Cross multiply
    4,277.32x = 6,414.86 × 1,810.87
  4. Step 4: Simplify right side
    4,277.32x = 11,616,466.02
  5. Step 5: Solve for x
    x = 11,616,466.02/4,277.32
  6. Step 6: Final answer
    x = 2,715.83

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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.