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Finding the Fourth Proportional to 3,875.99, 5,348.75 and 2,197.55

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Solution

The fourth proportional to 3,875.99, 5,348.75 and 2,197.55 is: 3,032.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,875.99 : 5,348.75 = 2,197.55 : x
  2. Step 2: Convert to fraction form
    3,875.99/5,348.75 = 2,197.55/x
  3. Step 3: Cross multiply
    3,875.99x = 5,348.75 × 2,197.55
  4. Step 4: Simplify right side
    3,875.99x = 11,754,107.83
  5. Step 5: Solve for x
    x = 11,754,107.83/3,875.99
  6. Step 6: Final answer
    x = 3,032.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.