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Finding the Fourth Proportional to 5,078.50, 7,009.29 and 2,870.50

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Solution

The fourth proportional to 5,078.50, 7,009.29 and 2,870.50 is: 3,961.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,078.50 : 7,009.29 = 2,870.50 : x
  2. Step 2: Convert to fraction form
    5,078.50/7,009.29 = 2,870.50/x
  3. Step 3: Cross multiply
    5,078.50x = 7,009.29 × 2,870.50
  4. Step 4: Simplify right side
    5,078.50x = 20,120,166.95
  5. Step 5: Solve for x
    x = 20,120,166.95/5,078.50
  6. Step 6: Final answer
    x = 3,961.83

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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.