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Finding the Fourth Proportional to 3,006.53, 4,147.71 and 1,886.70

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Solution

The fourth proportional to 3,006.53, 4,147.71 and 1,886.70 is: 2,602.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006.53 : 4,147.71 = 1,886.70 : x
  2. Step 2: Convert to fraction form
    3,006.53/4,147.71 = 1,886.70/x
  3. Step 3: Cross multiply
    3,006.53x = 4,147.71 × 1,886.70
  4. Step 4: Simplify right side
    3,006.53x = 7,825,484.46
  5. Step 5: Solve for x
    x = 7,825,484.46/3,006.53
  6. Step 6: Final answer
    x = 2,602.83

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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.