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Finding the Fourth Proportional to 3,527.42, 5,290.04 and 1,218.38

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Solution

The fourth proportional to 3,527.42, 5,290.04 and 1,218.38 is: 1,827.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,527.42 : 5,290.04 = 1,218.38 : x
  2. Step 2: Convert to fraction form
    3,527.42/5,290.04 = 1,218.38/x
  3. Step 3: Cross multiply
    3,527.42x = 5,290.04 × 1,218.38
  4. Step 4: Simplify right side
    3,527.42x = 6,445,255.53
  5. Step 5: Solve for x
    x = 6,445,255.53/3,527.42
  6. Step 6: Final answer
    x = 1,827.19

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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.