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Finding the Fourth Proportional to 4,152.64, 5,730.56 and 2,264.16

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Solution

The fourth proportional to 4,152.64, 5,730.56 and 2,264.16 is: 3,124.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,152.64 : 5,730.56 = 2,264.16 : x
  2. Step 2: Convert to fraction form
    4,152.64/5,730.56 = 2,264.16/x
  3. Step 3: Cross multiply
    4,152.64x = 5,730.56 × 2,264.16
  4. Step 4: Simplify right side
    4,152.64x = 12,974,904.73
  5. Step 5: Solve for x
    x = 12,974,904.73/4,152.64
  6. Step 6: Final answer
    x = 3,124.50

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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.