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Finding the Fourth Proportional to 4,815.24, 7,223.26 and 1,527.65

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Solution

The fourth proportional to 4,815.24, 7,223.26 and 1,527.65 is: 2,291.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,815.24 : 7,223.26 = 1,527.65 : x
  2. Step 2: Convert to fraction form
    4,815.24/7,223.26 = 1,527.65/x
  3. Step 3: Cross multiply
    4,815.24x = 7,223.26 × 1,527.65
  4. Step 4: Simplify right side
    4,815.24x = 11,034,613.14
  5. Step 5: Solve for x
    x = 11,034,613.14/4,815.24
  6. Step 6: Final answer
    x = 2,291.60

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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.