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Finding the Fourth Proportional to 4,473.17, 6,705.65 and 1,549.43

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Solution

The fourth proportional to 4,473.17, 6,705.65 and 1,549.43 is: 2,322.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,473.17 : 6,705.65 = 1,549.43 : x
  2. Step 2: Convert to fraction form
    4,473.17/6,705.65 = 1,549.43/x
  3. Step 3: Cross multiply
    4,473.17x = 6,705.65 × 1,549.43
  4. Step 4: Simplify right side
    4,473.17x = 10,389,927.53
  5. Step 5: Solve for x
    x = 10,389,927.53/4,473.17
  6. Step 6: Final answer
    x = 2,322.72

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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.