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Finding the Fourth Proportional to 5,346.88, 8,021.36 and 1,648.48

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Solution

The fourth proportional to 5,346.88, 8,021.36 and 1,648.48 is: 2,473.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,346.88 : 8,021.36 = 1,648.48 : x
  2. Step 2: Convert to fraction form
    5,346.88/8,021.36 = 1,648.48/x
  3. Step 3: Cross multiply
    5,346.88x = 8,021.36 × 1,648.48
  4. Step 4: Simplify right side
    5,346.88x = 13,223,051.53
  5. Step 5: Solve for x
    x = 13,223,051.53/5,346.88
  6. Step 6: Final answer
    x = 2,473.04

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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.