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Finding the Fourth Proportional to 5,132.48, 7,698.16 and 1,669.44

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Solution

The fourth proportional to 5,132.48, 7,698.16 and 1,669.44 is: 2,503.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,132.48 : 7,698.16 = 1,669.44 : x
  2. Step 2: Convert to fraction form
    5,132.48/7,698.16 = 1,669.44/x
  3. Step 3: Cross multiply
    5,132.48x = 7,698.16 × 1,669.44
  4. Step 4: Simplify right side
    5,132.48x = 12,851,616.23
  5. Step 5: Solve for x
    x = 12,851,616.23/5,132.48
  6. Step 6: Final answer
    x = 2,503.98

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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.