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Finding the Fourth Proportional to 3,406.73, 4,701.51 and 2,565.95

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Solution

The fourth proportional to 3,406.73, 4,701.51 and 2,565.95 is: 3,541.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.73 : 4,701.51 = 2,565.95 : x
  2. Step 2: Convert to fraction form
    3,406.73/4,701.51 = 2,565.95/x
  3. Step 3: Cross multiply
    3,406.73x = 4,701.51 × 2,565.95
  4. Step 4: Simplify right side
    3,406.73x = 12,063,816.08
  5. Step 5: Solve for x
    x = 12,063,816.08/3,406.73
  6. Step 6: Final answer
    x = 3,541.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.