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Finding the Fourth Proportional to 5,746.66, 8,618.07 and 1,850.20

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Solution

The fourth proportional to 5,746.66, 8,618.07 and 1,850.20 is: 2,774.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,746.66 : 8,618.07 = 1,850.20 : x
  2. Step 2: Convert to fraction form
    5,746.66/8,618.07 = 1,850.20/x
  3. Step 3: Cross multiply
    5,746.66x = 8,618.07 × 1,850.20
  4. Step 4: Simplify right side
    5,746.66x = 15,945,153.11
  5. Step 5: Solve for x
    x = 15,945,153.11/5,746.66
  6. Step 6: Final answer
    x = 2,774.68

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1.5x scale

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.