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Finding the Fourth Proportional to 3,598.90, 4,966.74 and 2,005.66

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Solution

The fourth proportional to 3,598.90, 4,966.74 and 2,005.66 is: 2,767.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,598.90 : 4,966.74 = 2,005.66 : x
  2. Step 2: Convert to fraction form
    3,598.90/4,966.74 = 2,005.66/x
  3. Step 3: Cross multiply
    3,598.90x = 4,966.74 × 2,005.66
  4. Step 4: Simplify right side
    3,598.90x = 9,961,566.91
  5. Step 5: Solve for x
    x = 9,961,566.91/3,598.90
  6. Step 6: Final answer
    x = 2,767.95

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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.