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Finding the Fourth Proportional to 4,712.53, 6,502.80 and 2,723.72

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Solution

The fourth proportional to 4,712.53, 6,502.80 and 2,723.72 is: 3,758.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,712.53 : 6,502.80 = 2,723.72 : x
  2. Step 2: Convert to fraction form
    4,712.53/6,502.80 = 2,723.72/x
  3. Step 3: Cross multiply
    4,712.53x = 6,502.80 × 2,723.72
  4. Step 4: Simplify right side
    4,712.53x = 17,711,822.67
  5. Step 5: Solve for x
    x = 17,711,822.67/4,712.53
  6. Step 6: Final answer
    x = 3,758.46

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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.