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Finding the Fourth Proportional to 3,747.88, 5,618.76 and 2,575

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Solution

The fourth proportional to 3,747.88, 5,618.76 and 2,575 is: 3,860.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,747.88 : 5,618.76 = 2,575 : x
  2. Step 2: Convert to fraction form
    3,747.88/5,618.76 = 2,575/x
  3. Step 3: Cross multiply
    3,747.88x = 5,618.76 × 2,575
  4. Step 4: Simplify right side
    3,747.88x = 14,468,307
  5. Step 5: Solve for x
    x = 14,468,307/3,747.88
  6. Step 6: Final answer
    x = 3,860.40

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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.