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Finding the Fourth Proportional to 6,302.56, 8,700.60 and 3,948.16

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Solution

The fourth proportional to 6,302.56, 8,700.60 and 3,948.16 is: 5,450.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,302.56 : 8,700.60 = 3,948.16 : x
  2. Step 2: Convert to fraction form
    6,302.56/8,700.60 = 3,948.16/x
  3. Step 3: Cross multiply
    6,302.56x = 8,700.60 × 3,948.16
  4. Step 4: Simplify right side
    6,302.56x = 34,351,360.90
  5. Step 5: Solve for x
    x = 34,351,360.90/6,302.56
  6. Step 6: Final answer
    x = 5,450.38

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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.