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Finding the Fourth Proportional to 4,706.71, 7,060.12 and 1,419.83

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Solution

The fourth proportional to 4,706.71, 7,060.12 and 1,419.83 is: 2,129.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.71 : 7,060.12 = 1,419.83 : x
  2. Step 2: Convert to fraction form
    4,706.71/7,060.12 = 1,419.83/x
  3. Step 3: Cross multiply
    4,706.71x = 7,060.12 × 1,419.83
  4. Step 4: Simplify right side
    4,706.71x = 10,024,197.54
  5. Step 5: Solve for x
    x = 10,024,197.54/4,706.71
  6. Step 6: Final answer
    x = 2,129.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.