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Finding the Fourth Proportional to 4,327.84, 5,966.16 and 2,999.52

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Solution

The fourth proportional to 4,327.84, 5,966.16 and 2,999.52 is: 4,135.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,327.84 : 5,966.16 = 2,999.52 : x
  2. Step 2: Convert to fraction form
    4,327.84/5,966.16 = 2,999.52/x
  3. Step 3: Cross multiply
    4,327.84x = 5,966.16 × 2,999.52
  4. Step 4: Simplify right side
    4,327.84x = 17,895,616.24
  5. Step 5: Solve for x
    x = 17,895,616.24/4,327.84
  6. Step 6: Final answer
    x = 4,135.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.