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Finding the Fourth Proportional to 4,851.88, 7,278.82 and 1,565.30

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Solution

The fourth proportional to 4,851.88, 7,278.82 and 1,565.30 is: 2,348.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,851.88 : 7,278.82 = 1,565.30 : x
  2. Step 2: Convert to fraction form
    4,851.88/7,278.82 = 1,565.30/x
  3. Step 3: Cross multiply
    4,851.88x = 7,278.82 × 1,565.30
  4. Step 4: Simplify right side
    4,851.88x = 11,393,536.95
  5. Step 5: Solve for x
    x = 11,393,536.95/4,851.88
  6. Step 6: Final answer
    x = 2,348.27

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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.