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Finding the Fourth Proportional to 3,658.10, 5,046.13 and 2,242.47

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Solution

The fourth proportional to 3,658.10, 5,046.13 and 2,242.47 is: 3,093.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.10 : 5,046.13 = 2,242.47 : x
  2. Step 2: Convert to fraction form
    3,658.10/5,046.13 = 2,242.47/x
  3. Step 3: Cross multiply
    3,658.10x = 5,046.13 × 2,242.47
  4. Step 4: Simplify right side
    3,658.10x = 11,315,808.46
  5. Step 5: Solve for x
    x = 11,315,808.46/3,658.10
  6. Step 6: Final answer
    x = 3,093.35

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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.