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Finding the Fourth Proportional to 4,549.59, 6,824.52 and 1,776.15

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Solution

The fourth proportional to 4,549.59, 6,824.52 and 1,776.15 is: 2,664.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,549.59 : 6,824.52 = 1,776.15 : x
  2. Step 2: Convert to fraction form
    4,549.59/6,824.52 = 1,776.15/x
  3. Step 3: Cross multiply
    4,549.59x = 6,824.52 × 1,776.15
  4. Step 4: Simplify right side
    4,549.59x = 12,121,371.20
  5. Step 5: Solve for x
    x = 12,121,371.20/4,549.59
  6. Step 6: Final answer
    x = 2,664.28

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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.