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Finding the Fourth Proportional to 4,707.19, 6,502.67 and 3,761.74

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Solution

The fourth proportional to 4,707.19, 6,502.67 and 3,761.74 is: 5,196.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,707.19 : 6,502.67 = 3,761.74 : x
  2. Step 2: Convert to fraction form
    4,707.19/6,502.67 = 3,761.74/x
  3. Step 3: Cross multiply
    4,707.19x = 6,502.67 × 3,761.74
  4. Step 4: Simplify right side
    4,707.19x = 24,461,321.33
  5. Step 5: Solve for x
    x = 24,461,321.33/4,707.19
  6. Step 6: Final answer
    x = 5,196.59

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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.