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Finding the Fourth Proportional to 3,497.10, 5,242.88 and 2,398.20

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Solution

The fourth proportional to 3,497.10, 5,242.88 and 2,398.20 is: 3,595.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.10 : 5,242.88 = 2,398.20 : x
  2. Step 2: Convert to fraction form
    3,497.10/5,242.88 = 2,398.20/x
  3. Step 3: Cross multiply
    3,497.10x = 5,242.88 × 2,398.20
  4. Step 4: Simplify right side
    3,497.10x = 12,573,462.83
  5. Step 5: Solve for x
    x = 12,573,462.83/3,497.10
  6. Step 6: Final answer
    x = 3,595.40

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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.