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Finding the Fourth Proportional to 3,565.47, 5,348.22 and 2,340.63

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Solution

The fourth proportional to 3,565.47, 5,348.22 and 2,340.63 is: 3,510.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,565.47 : 5,348.22 = 2,340.63 : x
  2. Step 2: Convert to fraction form
    3,565.47/5,348.22 = 2,340.63/x
  3. Step 3: Cross multiply
    3,565.47x = 5,348.22 × 2,340.63
  4. Step 4: Simplify right side
    3,565.47x = 12,518,204.18
  5. Step 5: Solve for x
    x = 12,518,204.18/3,565.47
  6. Step 6: Final answer
    x = 3,510.95

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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.