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Finding the Fourth Proportional to 5,186.68, 7,780.80 and 1,854.66

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Solution

The fourth proportional to 5,186.68, 7,780.80 and 1,854.66 is: 2,782.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,186.68 : 7,780.80 = 1,854.66 : x
  2. Step 2: Convert to fraction form
    5,186.68/7,780.80 = 1,854.66/x
  3. Step 3: Cross multiply
    5,186.68x = 7,780.80 × 1,854.66
  4. Step 4: Simplify right side
    5,186.68x = 14,430,738.53
  5. Step 5: Solve for x
    x = 14,430,738.53/5,186.68
  6. Step 6: Final answer
    x = 2,782.27

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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.