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Finding the Fourth Proportional to 4,347.20, 6,516 and 2,151.20

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Solution

The fourth proportional to 4,347.20, 6,516 and 2,151.20 is: 3,224.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,347.20 : 6,516 = 2,151.20 : x
  2. Step 2: Convert to fraction form
    4,347.20/6,516 = 2,151.20/x
  3. Step 3: Cross multiply
    4,347.20x = 6,516 × 2,151.20
  4. Step 4: Simplify right side
    4,347.20x = 14,017,219.20
  5. Step 5: Solve for x
    x = 14,017,219.20/4,347.20
  6. Step 6: Final answer
    x = 3,224.42

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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.