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Finding the Fourth Proportional to 5,948.16, 8,859.36 and 5,635.84

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Solution

The fourth proportional to 5,948.16, 8,859.36 and 5,635.84 is: 8,394.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,948.16 : 8,859.36 = 5,635.84 : x
  2. Step 2: Convert to fraction form
    5,948.16/8,859.36 = 5,635.84/x
  3. Step 3: Cross multiply
    5,948.16x = 8,859.36 × 5,635.84
  4. Step 4: Simplify right side
    5,948.16x = 49,929,935.46
  5. Step 5: Solve for x
    x = 49,929,935.46/5,948.16
  6. Step 6: Final answer
    x = 8,394.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.