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Finding the Fourth Proportional to 5,364.67, 8,046.19 and 1,854.13

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Solution

The fourth proportional to 5,364.67, 8,046.19 and 1,854.13 is: 2,780.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,364.67 : 8,046.19 = 1,854.13 : x
  2. Step 2: Convert to fraction form
    5,364.67/8,046.19 = 1,854.13/x
  3. Step 3: Cross multiply
    5,364.67x = 8,046.19 × 1,854.13
  4. Step 4: Simplify right side
    5,364.67x = 14,918,682.26
  5. Step 5: Solve for x
    x = 14,918,682.26/5,364.67
  6. Step 6: Final answer
    x = 2,780.91

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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.