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Finding the Fourth Proportional to 5,977.68, 8,250.36 and 3,460.20

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Solution

The fourth proportional to 5,977.68, 8,250.36 and 3,460.20 is: 4,775.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,977.68 : 8,250.36 = 3,460.20 : x
  2. Step 2: Convert to fraction form
    5,977.68/8,250.36 = 3,460.20/x
  3. Step 3: Cross multiply
    5,977.68x = 8,250.36 × 3,460.20
  4. Step 4: Simplify right side
    5,977.68x = 28,547,895.67
  5. Step 5: Solve for x
    x = 28,547,895.67/5,977.68
  6. Step 6: Final answer
    x = 4,775.75

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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.