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Finding the Fourth Proportional to 5,708.90, 7,878.86 and 3,319.61

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Solution

The fourth proportional to 5,708.90, 7,878.86 and 3,319.61 is: 4,581.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,708.90 : 7,878.86 = 3,319.61 : x
  2. Step 2: Convert to fraction form
    5,708.90/7,878.86 = 3,319.61/x
  3. Step 3: Cross multiply
    5,708.90x = 7,878.86 × 3,319.61
  4. Step 4: Simplify right side
    5,708.90x = 26,154,698.90
  5. Step 5: Solve for x
    x = 26,154,698.90/5,708.90
  6. Step 6: Final answer
    x = 4,581.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.