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Finding the Fourth Proportional to 5,672.72, 8,509.56 and 2,210

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Solution

The fourth proportional to 5,672.72, 8,509.56 and 2,210 is: 3,315.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,672.72 : 8,509.56 = 2,210 : x
  2. Step 2: Convert to fraction form
    5,672.72/8,509.56 = 2,210/x
  3. Step 3: Cross multiply
    5,672.72x = 8,509.56 × 2,210
  4. Step 4: Simplify right side
    5,672.72x = 18,806,127.60
  5. Step 5: Solve for x
    x = 18,806,127.60/5,672.72
  6. Step 6: Final answer
    x = 3,315.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.