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Finding the Fourth Proportional to 5,547.50, 8,321.25 and 3,237.38

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Solution

The fourth proportional to 5,547.50, 8,321.25 and 3,237.38 is: 4,856.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,547.50 : 8,321.25 = 3,237.38 : x
  2. Step 2: Convert to fraction form
    5,547.50/8,321.25 = 3,237.38/x
  3. Step 3: Cross multiply
    5,547.50x = 8,321.25 × 3,237.38
  4. Step 4: Simplify right side
    5,547.50x = 26,939,006.72
  5. Step 5: Solve for x
    x = 26,939,006.72/5,547.50
  6. Step 6: Final answer
    x = 4,856.07

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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.