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Finding the Fourth Proportional to 3,724.95, 5,142.18 and 2,883.77

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Solution

The fourth proportional to 3,724.95, 5,142.18 and 2,883.77 is: 3,980.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,724.95 : 5,142.18 = 2,883.77 : x
  2. Step 2: Convert to fraction form
    3,724.95/5,142.18 = 2,883.77/x
  3. Step 3: Cross multiply
    3,724.95x = 5,142.18 × 2,883.77
  4. Step 4: Simplify right side
    3,724.95x = 14,828,838.71
  5. Step 5: Solve for x
    x = 14,828,838.71/3,724.95
  6. Step 6: Final answer
    x = 3,980.95

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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.