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Finding the Fourth Proportional to 4,312.32, 5,951.04 and 2,424

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Solution

The fourth proportional to 4,312.32, 5,951.04 and 2,424 is: 3,345.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,312.32 : 5,951.04 = 2,424 : x
  2. Step 2: Convert to fraction form
    4,312.32/5,951.04 = 2,424/x
  3. Step 3: Cross multiply
    4,312.32x = 5,951.04 × 2,424
  4. Step 4: Simplify right side
    4,312.32x = 14,425,320.96
  5. Step 5: Solve for x
    x = 14,425,320.96/4,312.32
  6. Step 6: Final answer
    x = 3,345.14

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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.