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Finding the Fourth Proportional to 4,312.80, 5,952.72 and 2,824.32

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Solution

The fourth proportional to 4,312.80, 5,952.72 and 2,824.32 is: 3,898.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,312.80 : 5,952.72 = 2,824.32 : x
  2. Step 2: Convert to fraction form
    4,312.80/5,952.72 = 2,824.32/x
  3. Step 3: Cross multiply
    4,312.80x = 5,952.72 × 2,824.32
  4. Step 4: Simplify right side
    4,312.80x = 16,812,386.15
  5. Step 5: Solve for x
    x = 16,812,386.15/4,312.80
  6. Step 6: Final answer
    x = 3,898.25

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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.