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Finding the Fourth Proportional to 5,843.59, 8,765.34 and 1,461.02

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Solution

The fourth proportional to 5,843.59, 8,765.34 and 1,461.02 is: 2,191.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,843.59 : 8,765.34 = 1,461.02 : x
  2. Step 2: Convert to fraction form
    5,843.59/8,765.34 = 1,461.02/x
  3. Step 3: Cross multiply
    5,843.59x = 8,765.34 × 1,461.02
  4. Step 4: Simplify right side
    5,843.59x = 12,806,337.05
  5. Step 5: Solve for x
    x = 12,806,337.05/5,843.59
  6. Step 6: Final answer
    x = 2,191.52

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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.