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Finding the Fourth Proportional to 4,569.38, 6,853.04 and 2,101.83

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Solution

The fourth proportional to 4,569.38, 6,853.04 and 2,101.83 is: 3,152.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,569.38 : 6,853.04 = 2,101.83 : x
  2. Step 2: Convert to fraction form
    4,569.38/6,853.04 = 2,101.83/x
  3. Step 3: Cross multiply
    4,569.38x = 6,853.04 × 2,101.83
  4. Step 4: Simplify right side
    4,569.38x = 14,403,890.80
  5. Step 5: Solve for x
    x = 14,403,890.80/4,569.38
  6. Step 6: Final answer
    x = 3,152.27

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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.