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Finding the Fourth Proportional to 3,920.40, 5,875.20 and 2,600.40

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Solution

The fourth proportional to 3,920.40, 5,875.20 and 2,600.40 is: 3,897.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920.40 : 5,875.20 = 2,600.40 : x
  2. Step 2: Convert to fraction form
    3,920.40/5,875.20 = 2,600.40/x
  3. Step 3: Cross multiply
    3,920.40x = 5,875.20 × 2,600.40
  4. Step 4: Simplify right side
    3,920.40x = 15,277,870.08
  5. Step 5: Solve for x
    x = 15,277,870.08/3,920.40
  6. Step 6: Final answer
    x = 3,897.02

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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.