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Finding the Fourth Proportional to 3,365.58, 4,638.19 and 2,419.74

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Solution

The fourth proportional to 3,365.58, 4,638.19 and 2,419.74 is: 3,334.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,365.58 : 4,638.19 = 2,419.74 : x
  2. Step 2: Convert to fraction form
    3,365.58/4,638.19 = 2,419.74/x
  3. Step 3: Cross multiply
    3,365.58x = 4,638.19 × 2,419.74
  4. Step 4: Simplify right side
    3,365.58x = 11,223,196.19
  5. Step 5: Solve for x
    x = 11,223,196.19/3,365.58
  6. Step 6: Final answer
    x = 3,334.70

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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.