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Finding the Fourth Proportional to 5,282.34, 7,923.04 and 1,585.39

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Solution

The fourth proportional to 5,282.34, 7,923.04 and 1,585.39 is: 2,377.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,282.34 : 7,923.04 = 1,585.39 : x
  2. Step 2: Convert to fraction form
    5,282.34/7,923.04 = 1,585.39/x
  3. Step 3: Cross multiply
    5,282.34x = 7,923.04 × 1,585.39
  4. Step 4: Simplify right side
    5,282.34x = 12,561,108.39
  5. Step 5: Solve for x
    x = 12,561,108.39/5,282.34
  6. Step 6: Final answer
    x = 2,377.94

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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.