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Finding the Fourth Proportional to 5,868.06, 8,097.70 and 3,215.49

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Solution

The fourth proportional to 5,868.06, 8,097.70 and 3,215.49 is: 4,437.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,868.06 : 8,097.70 = 3,215.49 : x
  2. Step 2: Convert to fraction form
    5,868.06/8,097.70 = 3,215.49/x
  3. Step 3: Cross multiply
    5,868.06x = 8,097.70 × 3,215.49
  4. Step 4: Simplify right side
    5,868.06x = 26,038,073.37
  5. Step 5: Solve for x
    x = 26,038,073.37/5,868.06
  6. Step 6: Final answer
    x = 4,437.25

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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.