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Finding the Fourth Proportional to 5,765.76, 8,648.62 and 2,068.20

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Solution

The fourth proportional to 5,765.76, 8,648.62 and 2,068.20 is: 3,102.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.76 : 8,648.62 = 2,068.20 : x
  2. Step 2: Convert to fraction form
    5,765.76/8,648.62 = 2,068.20/x
  3. Step 3: Cross multiply
    5,765.76x = 8,648.62 × 2,068.20
  4. Step 4: Simplify right side
    5,765.76x = 17,887,075.88
  5. Step 5: Solve for x
    x = 17,887,075.88/5,765.76
  6. Step 6: Final answer
    x = 3,102.29

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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.