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Finding the Fourth Proportional to 5,746.68, 7,930.62 and 3,650.76

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Solution

The fourth proportional to 5,746.68, 7,930.62 and 3,650.76 is: 5,038.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,746.68 : 7,930.62 = 3,650.76 : x
  2. Step 2: Convert to fraction form
    5,746.68/7,930.62 = 3,650.76/x
  3. Step 3: Cross multiply
    5,746.68x = 7,930.62 × 3,650.76
  4. Step 4: Simplify right side
    5,746.68x = 28,952,790.27
  5. Step 5: Solve for x
    x = 28,952,790.27/5,746.68
  6. Step 6: Final answer
    x = 5,038.18

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Double scale
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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.