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Finding the Fourth Proportional to 6,484.40, 8,948.44 and 3,689.90

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Solution

The fourth proportional to 6,484.40, 8,948.44 and 3,689.90 is: 5,092.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,484.40 : 8,948.44 = 3,689.90 : x
  2. Step 2: Convert to fraction form
    6,484.40/8,948.44 = 3,689.90/x
  3. Step 3: Cross multiply
    6,484.40x = 8,948.44 × 3,689.90
  4. Step 4: Simplify right side
    6,484.40x = 33,018,848.76
  5. Step 5: Solve for x
    x = 33,018,848.76/6,484.40
  6. Step 6: Final answer
    x = 5,092.04

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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.