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Finding the Fourth Proportional to 3,152.64, 4,348.56 and 2,156.16

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Solution

The fourth proportional to 3,152.64, 4,348.56 and 2,156.16 is: 2,974.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,152.64 : 4,348.56 = 2,156.16 : x
  2. Step 2: Convert to fraction form
    3,152.64/4,348.56 = 2,156.16/x
  3. Step 3: Cross multiply
    3,152.64x = 4,348.56 × 2,156.16
  4. Step 4: Simplify right side
    3,152.64x = 9,376,191.13
  5. Step 5: Solve for x
    x = 9,376,191.13/3,152.64
  6. Step 6: Final answer
    x = 2,974.08

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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.