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Finding the Fourth Proportional to 5,461.90, 8,194.14 and 1,566.22

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Solution

The fourth proportional to 5,461.90, 8,194.14 and 1,566.22 is: 2,349.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,461.90 : 8,194.14 = 1,566.22 : x
  2. Step 2: Convert to fraction form
    5,461.90/8,194.14 = 1,566.22/x
  3. Step 3: Cross multiply
    5,461.90x = 8,194.14 × 1,566.22
  4. Step 4: Simplify right side
    5,461.90x = 12,833,825.95
  5. Step 5: Solve for x
    x = 12,833,825.95/5,461.90
  6. Step 6: Final answer
    x = 2,349.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.