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Finding the Fourth Proportional to 5,720.22, 8,578.95 and 1,560.25

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Solution

The fourth proportional to 5,720.22, 8,578.95 and 1,560.25 is: 2,340.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,720.22 : 8,578.95 = 1,560.25 : x
  2. Step 2: Convert to fraction form
    5,720.22/8,578.95 = 1,560.25/x
  3. Step 3: Cross multiply
    5,720.22x = 8,578.95 × 1,560.25
  4. Step 4: Simplify right side
    5,720.22x = 13,385,306.74
  5. Step 5: Solve for x
    x = 13,385,306.74/5,720.22
  6. Step 6: Final answer
    x = 2,340.00

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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.