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Finding the Fourth Proportional to 4,187.62, 5,779.02 and 2,419.84

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Solution

The fourth proportional to 4,187.62, 5,779.02 and 2,419.84 is: 3,339.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,187.62 : 5,779.02 = 2,419.84 : x
  2. Step 2: Convert to fraction form
    4,187.62/5,779.02 = 2,419.84/x
  3. Step 3: Cross multiply
    4,187.62x = 5,779.02 × 2,419.84
  4. Step 4: Simplify right side
    4,187.62x = 13,984,303.76
  5. Step 5: Solve for x
    x = 13,984,303.76/4,187.62
  6. Step 6: Final answer
    x = 3,339.44

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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.