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Finding the Fourth Proportional to 3,566.78, 4,915.50 and 2,570.30

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Solution

The fourth proportional to 3,566.78, 4,915.50 and 2,570.30 is: 3,542.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,566.78 : 4,915.50 = 2,570.30 : x
  2. Step 2: Convert to fraction form
    3,566.78/4,915.50 = 2,570.30/x
  3. Step 3: Cross multiply
    3,566.78x = 4,915.50 × 2,570.30
  4. Step 4: Simplify right side
    3,566.78x = 12,634,309.65
  5. Step 5: Solve for x
    x = 12,634,309.65/3,566.78
  6. Step 6: Final answer
    x = 3,542.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.