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Finding the Fourth Proportional to 5,834.27, 8,751.46 and 1,886.13

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Solution

The fourth proportional to 5,834.27, 8,751.46 and 1,886.13 is: 2,829.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,834.27 : 8,751.46 = 1,886.13 : x
  2. Step 2: Convert to fraction form
    5,834.27/8,751.46 = 1,886.13/x
  3. Step 3: Cross multiply
    5,834.27x = 8,751.46 × 1,886.13
  4. Step 4: Simplify right side
    5,834.27x = 16,506,386.53
  5. Step 5: Solve for x
    x = 16,506,386.53/5,834.27
  6. Step 6: Final answer
    x = 2,829.21

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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.