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Finding the Fourth Proportional to 3,174.30, 4,762.53 and 2,867.58

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Solution

The fourth proportional to 3,174.30, 4,762.53 and 2,867.58 is: 4,302.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.30 : 4,762.53 = 2,867.58 : x
  2. Step 2: Convert to fraction form
    3,174.30/4,762.53 = 2,867.58/x
  3. Step 3: Cross multiply
    3,174.30x = 4,762.53 × 2,867.58
  4. Step 4: Simplify right side
    3,174.30x = 13,656,935.78
  5. Step 5: Solve for x
    x = 13,656,935.78/3,174.30
  6. Step 6: Final answer
    x = 4,302.35

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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.