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Finding the Fourth Proportional to 4,298.31, 5,931.68 and 2,435.31

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Solution

The fourth proportional to 4,298.31, 5,931.68 and 2,435.31 is: 3,360.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,298.31 : 5,931.68 = 2,435.31 : x
  2. Step 2: Convert to fraction form
    4,298.31/5,931.68 = 2,435.31/x
  3. Step 3: Cross multiply
    4,298.31x = 5,931.68 × 2,435.31
  4. Step 4: Simplify right side
    4,298.31x = 14,445,479.62
  5. Step 5: Solve for x
    x = 14,445,479.62/4,298.31
  6. Step 6: Final answer
    x = 3,360.73

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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.