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Finding the Fourth Proportional to 4,187.84, 5,779.22 and 2,419.74

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Solution

The fourth proportional to 4,187.84, 5,779.22 and 2,419.74 is: 3,339.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,187.84 : 5,779.22 = 2,419.74 : x
  2. Step 2: Convert to fraction form
    4,187.84/5,779.22 = 2,419.74/x
  3. Step 3: Cross multiply
    4,187.84x = 5,779.22 × 2,419.74
  4. Step 4: Simplify right side
    4,187.84x = 13,984,197.70
  5. Step 5: Solve for x
    x = 13,984,197.70/4,187.84
  6. Step 6: Final answer
    x = 3,339.24

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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.