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Finding the Fourth Proportional to 5,278.06, 7,860.95 and 5,132.77

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Solution

The fourth proportional to 5,278.06, 7,860.95 and 5,132.77 is: 7,644.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,278.06 : 7,860.95 = 5,132.77 : x
  2. Step 2: Convert to fraction form
    5,278.06/7,860.95 = 5,132.77/x
  3. Step 3: Cross multiply
    5,278.06x = 7,860.95 × 5,132.77
  4. Step 4: Simplify right side
    5,278.06x = 40,348,422.26
  5. Step 5: Solve for x
    x = 40,348,422.26/5,278.06
  6. Step 6: Final answer
    x = 7,644.55

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.