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Finding the Fourth Proportional to 5,870.90, 8,101.78 and 3,218.35

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Solution

The fourth proportional to 5,870.90, 8,101.78 and 3,218.35 is: 4,441.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,870.90 : 8,101.78 = 3,218.35 : x
  2. Step 2: Convert to fraction form
    5,870.90/8,101.78 = 3,218.35/x
  3. Step 3: Cross multiply
    5,870.90x = 8,101.78 × 3,218.35
  4. Step 4: Simplify right side
    5,870.90x = 26,074,363.66
  5. Step 5: Solve for x
    x = 26,074,363.66/5,870.90
  6. Step 6: Final answer
    x = 4,441.29

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