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Finding the Fourth Proportional to 5,746.14, 7,933 and 3,760.16

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Solution

The fourth proportional to 5,746.14, 7,933 and 3,760.16 is: 5,191.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,746.14 : 7,933 = 3,760.16 : x
  2. Step 2: Convert to fraction form
    5,746.14/7,933 = 3,760.16/x
  3. Step 3: Cross multiply
    5,746.14x = 7,933 × 3,760.16
  4. Step 4: Simplify right side
    5,746.14x = 29,829,349.28
  5. Step 5: Solve for x
    x = 29,829,349.28/5,746.14
  6. Step 6: Final answer
    x = 5,191.20

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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.