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Finding the Fourth Proportional to 4,707.68, 6,496.80 and 3,134.72

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Solution

The fourth proportional to 4,707.68, 6,496.80 and 3,134.72 is: 4,326.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,707.68 : 6,496.80 = 3,134.72 : x
  2. Step 2: Convert to fraction form
    4,707.68/6,496.80 = 3,134.72/x
  3. Step 3: Cross multiply
    4,707.68x = 6,496.80 × 3,134.72
  4. Step 4: Simplify right side
    4,707.68x = 20,365,648.90
  5. Step 5: Solve for x
    x = 20,365,648.90/4,707.68
  6. Step 6: Final answer
    x = 4,326.05

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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.