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Finding the Fourth Proportional to 3,598.88, 4,966.35 and 2,005.52

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Solution

The fourth proportional to 3,598.88, 4,966.35 and 2,005.52 is: 2,767.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,598.88 : 4,966.35 = 2,005.52 : x
  2. Step 2: Convert to fraction form
    3,598.88/4,966.35 = 2,005.52/x
  3. Step 3: Cross multiply
    3,598.88x = 4,966.35 × 2,005.52
  4. Step 4: Simplify right side
    3,598.88x = 9,960,114.25
  5. Step 5: Solve for x
    x = 9,960,114.25/3,598.88
  6. Step 6: Final answer
    x = 2,767.56

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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.