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Finding the Fourth Proportional to 5,565.20, 8,347.80 and 1,461.20

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Solution

The fourth proportional to 5,565.20, 8,347.80 and 1,461.20 is: 2,191.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,565.20 : 8,347.80 = 1,461.20 : x
  2. Step 2: Convert to fraction form
    5,565.20/8,347.80 = 1,461.20/x
  3. Step 3: Cross multiply
    5,565.20x = 8,347.80 × 1,461.20
  4. Step 4: Simplify right side
    5,565.20x = 12,197,805.36
  5. Step 5: Solve for x
    x = 12,197,805.36/5,565.20
  6. Step 6: Final answer
    x = 2,191.80

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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.