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Finding the Fourth Proportional to 4,712.31, 6,502.28 and 2,823.44

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Solution

The fourth proportional to 4,712.31, 6,502.28 and 2,823.44 is: 3,895.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,712.31 : 6,502.28 = 2,823.44 : x
  2. Step 2: Convert to fraction form
    4,712.31/6,502.28 = 2,823.44/x
  3. Step 3: Cross multiply
    4,712.31x = 6,502.28 × 2,823.44
  4. Step 4: Simplify right side
    4,712.31x = 18,358,750.81
  5. Step 5: Solve for x
    x = 18,358,750.81/4,712.31
  6. Step 6: Final answer
    x = 3,895.91

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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.