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Finding the Fourth Proportional to 4,187.90, 5,780.16 and 2,419.27

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Solution

The fourth proportional to 4,187.90, 5,780.16 and 2,419.27 is: 3,339.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,187.90 : 5,780.16 = 2,419.27 : x
  2. Step 2: Convert to fraction form
    4,187.90/5,780.16 = 2,419.27/x
  3. Step 3: Cross multiply
    4,187.90x = 5,780.16 × 2,419.27
  4. Step 4: Simplify right side
    4,187.90x = 13,983,753.23
  5. Step 5: Solve for x
    x = 13,983,753.23/4,187.90
  6. Step 6: Final answer
    x = 3,339.08

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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.