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Finding the Fourth Proportional to 5,751.52, 7,935.76 and 4,160.50

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Solution

The fourth proportional to 5,751.52, 7,935.76 and 4,160.50 is: 5,740.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,751.52 : 7,935.76 = 4,160.50 : x
  2. Step 2: Convert to fraction form
    5,751.52/7,935.76 = 4,160.50/x
  3. Step 3: Cross multiply
    5,751.52x = 7,935.76 × 4,160.50
  4. Step 4: Simplify right side
    5,751.52x = 33,016,729.48
  5. Step 5: Solve for x
    x = 33,016,729.48/5,751.52
  6. Step 6: Final answer
    x = 5,740.52

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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.