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Finding the Fourth Proportional to 3,416.76, 5,123.22 and 1,878.84

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Solution

The fourth proportional to 3,416.76, 5,123.22 and 1,878.84 is: 2,817.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.76 : 5,123.22 = 1,878.84 : x
  2. Step 2: Convert to fraction form
    3,416.76/5,123.22 = 1,878.84/x
  3. Step 3: Cross multiply
    3,416.76x = 5,123.22 × 1,878.84
  4. Step 4: Simplify right side
    3,416.76x = 9,625,710.66
  5. Step 5: Solve for x
    x = 9,625,710.66/3,416.76
  6. Step 6: Final answer
    x = 2,817.20

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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.