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Finding the Fourth Proportional to 5,052.42, 7,572.06 and 2,585.16

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Solution

The fourth proportional to 5,052.42, 7,572.06 and 2,585.16 is: 3,874.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,052.42 : 7,572.06 = 2,585.16 : x
  2. Step 2: Convert to fraction form
    5,052.42/7,572.06 = 2,585.16/x
  3. Step 3: Cross multiply
    5,052.42x = 7,572.06 × 2,585.16
  4. Step 4: Simplify right side
    5,052.42x = 19,574,986.63
  5. Step 5: Solve for x
    x = 19,574,986.63/5,052.42
  6. Step 6: Final answer
    x = 3,874.38

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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.