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Finding the Fourth Proportional to 4,712.48, 6,502.92 and 2,944

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Solution

The fourth proportional to 4,712.48, 6,502.92 and 2,944 is: 4,062.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,712.48 : 6,502.92 = 2,944 : x
  2. Step 2: Convert to fraction form
    4,712.48/6,502.92 = 2,944/x
  3. Step 3: Cross multiply
    4,712.48x = 6,502.92 × 2,944
  4. Step 4: Simplify right side
    4,712.48x = 19,144,596.48
  5. Step 5: Solve for x
    x = 19,144,596.48/4,712.48
  6. Step 6: Final answer
    x = 4,062.53

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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.