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Finding the Fourth Proportional to 3,286.01, 4,534.70 and 1,869.66

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Solution

The fourth proportional to 3,286.01, 4,534.70 and 1,869.66 is: 2,580.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286.01 : 4,534.70 = 1,869.66 : x
  2. Step 2: Convert to fraction form
    3,286.01/4,534.70 = 1,869.66/x
  3. Step 3: Cross multiply
    3,286.01x = 4,534.70 × 1,869.66
  4. Step 4: Simplify right side
    3,286.01x = 8,478,347.20
  5. Step 5: Solve for x
    x = 8,478,347.20/3,286.01
  6. Step 6: Final answer
    x = 2,580.13

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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.