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Finding the Fourth Proportional to 6,275.34, 8,659.02 and 3,586.10

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Solution

The fourth proportional to 6,275.34, 8,659.02 and 3,586.10 is: 4,948.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,275.34 : 8,659.02 = 3,586.10 : x
  2. Step 2: Convert to fraction form
    6,275.34/8,659.02 = 3,586.10/x
  3. Step 3: Cross multiply
    6,275.34x = 8,659.02 × 3,586.10
  4. Step 4: Simplify right side
    6,275.34x = 31,052,111.62
  5. Step 5: Solve for x
    x = 31,052,111.62/6,275.34
  6. Step 6: Final answer
    x = 4,948.28

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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.