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Finding the Fourth Proportional to 4,499.30, 6,748.95 and 1,577.90

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Solution

The fourth proportional to 4,499.30, 6,748.95 and 1,577.90 is: 2,366.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,499.30 : 6,748.95 = 1,577.90 : x
  2. Step 2: Convert to fraction form
    4,499.30/6,748.95 = 1,577.90/x
  3. Step 3: Cross multiply
    4,499.30x = 6,748.95 × 1,577.90
  4. Step 4: Simplify right side
    4,499.30x = 10,649,168.21
  5. Step 5: Solve for x
    x = 10,649,168.21/4,499.30
  6. Step 6: Final answer
    x = 2,366.85

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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.