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Finding the Fourth Proportional to 4,947.16, 7,412.52 and 3,483.24

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Solution

The fourth proportional to 4,947.16, 7,412.52 and 3,483.24 is: 5,219.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,947.16 : 7,412.52 = 3,483.24 : x
  2. Step 2: Convert to fraction form
    4,947.16/7,412.52 = 3,483.24/x
  3. Step 3: Cross multiply
    4,947.16x = 7,412.52 × 3,483.24
  4. Step 4: Simplify right side
    4,947.16x = 25,819,586.16
  5. Step 5: Solve for x
    x = 25,819,586.16/4,947.16
  6. Step 6: Final answer
    x = 5,219.07

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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.