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Finding the Fourth Proportional to 5,049.35, 7,575.02 and 1,762.55

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Solution

The fourth proportional to 5,049.35, 7,575.02 and 1,762.55 is: 2,644.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,049.35 : 7,575.02 = 1,762.55 : x
  2. Step 2: Convert to fraction form
    5,049.35/7,575.02 = 1,762.55/x
  3. Step 3: Cross multiply
    5,049.35x = 7,575.02 × 1,762.55
  4. Step 4: Simplify right side
    5,049.35x = 13,351,304.81
  5. Step 5: Solve for x
    x = 13,351,304.81/5,049.35
  6. Step 6: Final answer
    x = 2,644.17

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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.