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Finding the Fourth Proportional to 3,598.98, 4,966.52 and 2,005.63

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Solution

The fourth proportional to 3,598.98, 4,966.52 and 2,005.63 is: 2,767.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,598.98 : 4,966.52 = 2,005.63 : x
  2. Step 2: Convert to fraction form
    3,598.98/4,966.52 = 2,005.63/x
  3. Step 3: Cross multiply
    3,598.98x = 4,966.52 × 2,005.63
  4. Step 4: Simplify right side
    3,598.98x = 9,960,990.34
  5. Step 5: Solve for x
    x = 9,960,990.34/3,598.98
  6. Step 6: Final answer
    x = 2,767.72

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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.