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Finding the Fourth Proportional to 5,260.66, 7,259.75 and 2,870.80

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Solution

The fourth proportional to 5,260.66, 7,259.75 and 2,870.80 is: 3,961.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,260.66 : 7,259.75 = 2,870.80 : x
  2. Step 2: Convert to fraction form
    5,260.66/7,259.75 = 2,870.80/x
  3. Step 3: Cross multiply
    5,260.66x = 7,259.75 × 2,870.80
  4. Step 4: Simplify right side
    5,260.66x = 20,841,275.95
  5. Step 5: Solve for x
    x = 20,841,275.95/5,260.66
  6. Step 6: Final answer
    x = 3,961.72

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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.