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Finding the Fourth Proportional to 4,402.88, 6,597 and 3,101.60

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Solution

The fourth proportional to 4,402.88, 6,597 and 3,101.60 is: 4,647.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,402.88 : 6,597 = 3,101.60 : x
  2. Step 2: Convert to fraction form
    4,402.88/6,597 = 3,101.60/x
  3. Step 3: Cross multiply
    4,402.88x = 6,597 × 3,101.60
  4. Step 4: Simplify right side
    4,402.88x = 20,461,255.20
  5. Step 5: Solve for x
    x = 20,461,255.20/4,402.88
  6. Step 6: Final answer
    x = 4,647.24

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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.