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Finding the Fourth Proportional to 3,712.64, 5,570.88 and 2,254.40

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Solution

The fourth proportional to 3,712.64, 5,570.88 and 2,254.40 is: 3,382.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,712.64 : 5,570.88 = 2,254.40 : x
  2. Step 2: Convert to fraction form
    3,712.64/5,570.88 = 2,254.40/x
  3. Step 3: Cross multiply
    3,712.64x = 5,570.88 × 2,254.40
  4. Step 4: Simplify right side
    3,712.64x = 12,558,991.87
  5. Step 5: Solve for x
    x = 12,558,991.87/3,712.64
  6. Step 6: Final answer
    x = 3,382.77

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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.