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Finding the Fourth Proportional to 5,752.50, 7,938.45 and 3,268.50

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Solution

The fourth proportional to 5,752.50, 7,938.45 and 3,268.50 is: 4,510.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,752.50 : 7,938.45 = 3,268.50 : x
  2. Step 2: Convert to fraction form
    5,752.50/7,938.45 = 3,268.50/x
  3. Step 3: Cross multiply
    5,752.50x = 7,938.45 × 3,268.50
  4. Step 4: Simplify right side
    5,752.50x = 25,946,823.83
  5. Step 5: Solve for x
    x = 25,946,823.83/5,752.50
  6. Step 6: Final answer
    x = 4,510.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.