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Finding the Fourth Proportional to 3,538.68, 4,885.16 and 2,740.23

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Solution

The fourth proportional to 3,538.68, 4,885.16 and 2,740.23 is: 3,782.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538.68 : 4,885.16 = 2,740.23 : x
  2. Step 2: Convert to fraction form
    3,538.68/4,885.16 = 2,740.23/x
  3. Step 3: Cross multiply
    3,538.68x = 4,885.16 × 2,740.23
  4. Step 4: Simplify right side
    3,538.68x = 13,386,448.29
  5. Step 5: Solve for x
    x = 13,386,448.29/3,538.68
  6. Step 6: Final answer
    x = 3,782.89

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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.