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Finding the Fourth Proportional to 5,649.60, 8,459.04 and 2,907.84

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Solution

The fourth proportional to 5,649.60, 8,459.04 and 2,907.84 is: 4,353.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,649.60 : 8,459.04 = 2,907.84 : x
  2. Step 2: Convert to fraction form
    5,649.60/8,459.04 = 2,907.84/x
  3. Step 3: Cross multiply
    5,649.60x = 8,459.04 × 2,907.84
  4. Step 4: Simplify right side
    5,649.60x = 24,597,534.87
  5. Step 5: Solve for x
    x = 24,597,534.87/5,649.60
  6. Step 6: Final answer
    x = 4,353.85

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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.