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Finding the Fourth Proportional to 5,364.66, 8,001.75 and 5,200.64

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Solution

The fourth proportional to 5,364.66, 8,001.75 and 5,200.64 is: 7,757.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,364.66 : 8,001.75 = 5,200.64 : x
  2. Step 2: Convert to fraction form
    5,364.66/8,001.75 = 5,200.64/x
  3. Step 3: Cross multiply
    5,364.66x = 8,001.75 × 5,200.64
  4. Step 4: Simplify right side
    5,364.66x = 41,614,181.11
  5. Step 5: Solve for x
    x = 41,614,181.11/5,364.66
  6. Step 6: Final answer
    x = 7,757.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.