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Finding the Fourth Proportional to 4,419.57, 6,099 and 2,430.26

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Solution

The fourth proportional to 4,419.57, 6,099 and 2,430.26 is: 3,353.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,419.57 : 6,099 = 2,430.26 : x
  2. Step 2: Convert to fraction form
    4,419.57/6,099 = 2,430.26/x
  3. Step 3: Cross multiply
    4,419.57x = 6,099 × 2,430.26
  4. Step 4: Simplify right side
    4,419.57x = 14,822,125.25
  5. Step 5: Solve for x
    x = 14,822,125.25/4,419.57
  6. Step 6: Final answer
    x = 3,353.75

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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.