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Finding the Fourth Proportional to 5,649.84, 8,478.87 and 4,264.89

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Solution

The fourth proportional to 5,649.84, 8,478.87 and 4,264.89 is: 6,400.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,649.84 : 8,478.87 = 4,264.89 : x
  2. Step 2: Convert to fraction form
    5,649.84/8,478.87 = 4,264.89/x
  3. Step 3: Cross multiply
    5,649.84x = 8,478.87 × 4,264.89
  4. Step 4: Simplify right side
    5,649.84x = 36,161,447.87
  5. Step 5: Solve for x
    x = 36,161,447.87/5,649.84
  6. Step 6: Final answer
    x = 6,400.44

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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.