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Finding the Fourth Proportional to 4,711.86, 7,026.59 and 4,129.56

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Solution

The fourth proportional to 4,711.86, 7,026.59 and 4,129.56 is: 6,158.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,711.86 : 7,026.59 = 4,129.56 : x
  2. Step 2: Convert to fraction form
    4,711.86/7,026.59 = 4,129.56/x
  3. Step 3: Cross multiply
    4,711.86x = 7,026.59 × 4,129.56
  4. Step 4: Simplify right side
    4,711.86x = 29,016,735.32
  5. Step 5: Solve for x
    x = 29,016,735.32/4,711.86
  6. Step 6: Final answer
    x = 6,158.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.