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Finding the Fourth Proportional to 5,017.76, 7,524.62 and 1,506.54

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Solution

The fourth proportional to 5,017.76, 7,524.62 and 1,506.54 is: 2,259.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,017.76 : 7,524.62 = 1,506.54 : x
  2. Step 2: Convert to fraction form
    5,017.76/7,524.62 = 1,506.54/x
  3. Step 3: Cross multiply
    5,017.76x = 7,524.62 × 1,506.54
  4. Step 4: Simplify right side
    5,017.76x = 11,336,141.01
  5. Step 5: Solve for x
    x = 11,336,141.01/5,017.76
  6. Step 6: Final answer
    x = 2,259.20

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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.