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Finding the Fourth Proportional to 3,167.30, 4,746.26 and 2,821.30

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Solution

The fourth proportional to 3,167.30, 4,746.26 and 2,821.30 is: 4,227.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,167.30 : 4,746.26 = 2,821.30 : x
  2. Step 2: Convert to fraction form
    3,167.30/4,746.26 = 2,821.30/x
  3. Step 3: Cross multiply
    3,167.30x = 4,746.26 × 2,821.30
  4. Step 4: Simplify right side
    3,167.30x = 13,390,623.34
  5. Step 5: Solve for x
    x = 13,390,623.34/3,167.30
  6. Step 6: Final answer
    x = 4,227.77

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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.