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Finding the Fourth Proportional to 5,792.32, 8,667.71 and 5,015

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Solution

The fourth proportional to 5,792.32, 8,667.71 and 5,015 is: 7,504.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,792.32 : 8,667.71 = 5,015 : x
  2. Step 2: Convert to fraction form
    5,792.32/8,667.71 = 5,015/x
  3. Step 3: Cross multiply
    5,792.32x = 8,667.71 × 5,015
  4. Step 4: Simplify right side
    5,792.32x = 43,468,565.65
  5. Step 5: Solve for x
    x = 43,468,565.65/5,792.32
  6. Step 6: Final answer
    x = 7,504.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.