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Finding the Fourth Proportional to 3,538.84, 4,884.08 and 2,420.92

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Solution

The fourth proportional to 3,538.84, 4,884.08 and 2,420.92 is: 3,341.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538.84 : 4,884.08 = 2,420.92 : x
  2. Step 2: Convert to fraction form
    3,538.84/4,884.08 = 2,420.92/x
  3. Step 3: Cross multiply
    3,538.84x = 4,884.08 × 2,420.92
  4. Step 4: Simplify right side
    3,538.84x = 11,823,966.95
  5. Step 5: Solve for x
    x = 11,823,966.95/3,538.84
  6. Step 6: Final answer
    x = 3,341.20

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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.