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Finding the Fourth Proportional to 4,775.76, 6,590.52 and 2,786.16

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Solution

The fourth proportional to 4,775.76, 6,590.52 and 2,786.16 is: 3,844.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,775.76 : 6,590.52 = 2,786.16 : x
  2. Step 2: Convert to fraction form
    4,775.76/6,590.52 = 2,786.16/x
  3. Step 3: Cross multiply
    4,775.76x = 6,590.52 × 2,786.16
  4. Step 4: Simplify right side
    4,775.76x = 18,362,243.20
  5. Step 5: Solve for x
    x = 18,362,243.20/4,775.76
  6. Step 6: Final answer
    x = 3,844.88

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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.