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Finding the Fourth Proportional to 3,695.68, 5,537.20 and 2,394.40

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Solution

The fourth proportional to 3,695.68, 5,537.20 and 2,394.40 is: 3,587.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,695.68 : 5,537.20 = 2,394.40 : x
  2. Step 2: Convert to fraction form
    3,695.68/5,537.20 = 2,394.40/x
  3. Step 3: Cross multiply
    3,695.68x = 5,537.20 × 2,394.40
  4. Step 4: Simplify right side
    3,695.68x = 13,258,271.68
  5. Step 5: Solve for x
    x = 13,258,271.68/3,695.68
  6. Step 6: Final answer
    x = 3,587.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.