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Finding the Fourth Proportional to 4,098.79, 5,655.45 and 2,419.93

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Solution

The fourth proportional to 4,098.79, 5,655.45 and 2,419.93 is: 3,338.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,098.79 : 5,655.45 = 2,419.93 : x
  2. Step 2: Convert to fraction form
    4,098.79/5,655.45 = 2,419.93/x
  3. Step 3: Cross multiply
    4,098.79x = 5,655.45 × 2,419.93
  4. Step 4: Simplify right side
    4,098.79x = 13,685,793.12
  5. Step 5: Solve for x
    x = 13,685,793.12/4,098.79
  6. Step 6: Final answer
    x = 3,338.98

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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.