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Finding the Fourth Proportional to 5,346.32, 8,020.08 and 1,649.48

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Solution

The fourth proportional to 5,346.32, 8,020.08 and 1,649.48 is: 2,474.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,346.32 : 8,020.08 = 1,649.48 : x
  2. Step 2: Convert to fraction form
    5,346.32/8,020.08 = 1,649.48/x
  3. Step 3: Cross multiply
    5,346.32x = 8,020.08 × 1,649.48
  4. Step 4: Simplify right side
    5,346.32x = 13,228,921.46
  5. Step 5: Solve for x
    x = 13,228,921.46/5,346.32
  6. Step 6: Final answer
    x = 2,474.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.