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Finding the Fourth Proportional to 4,174.91, 5,758.61 and 2,684.71

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Solution

The fourth proportional to 4,174.91, 5,758.61 and 2,684.71 is: 3,703.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,174.91 : 5,758.61 = 2,684.71 : x
  2. Step 2: Convert to fraction form
    4,174.91/5,758.61 = 2,684.71/x
  3. Step 3: Cross multiply
    4,174.91x = 5,758.61 × 2,684.71
  4. Step 4: Simplify right side
    4,174.91x = 15,460,210.34
  5. Step 5: Solve for x
    x = 15,460,210.34/4,174.91
  6. Step 6: Final answer
    x = 3,703.12

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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.