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Finding the Fourth Proportional to 3,658.22, 5,045.61 and 2,330.72

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Solution

The fourth proportional to 3,658.22, 5,045.61 and 2,330.72 is: 3,214.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.22 : 5,045.61 = 2,330.72 : x
  2. Step 2: Convert to fraction form
    3,658.22/5,045.61 = 2,330.72/x
  3. Step 3: Cross multiply
    3,658.22x = 5,045.61 × 2,330.72
  4. Step 4: Simplify right side
    3,658.22x = 11,759,904.14
  5. Step 5: Solve for x
    x = 11,759,904.14/3,658.22
  6. Step 6: Final answer
    x = 3,214.65

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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.