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Finding the Fourth Proportional to 5,762.36, 7,952.16 and 3,278.36

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Solution

The fourth proportional to 5,762.36, 7,952.16 and 3,278.36 is: 4,524.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,762.36 : 7,952.16 = 3,278.36 : x
  2. Step 2: Convert to fraction form
    5,762.36/7,952.16 = 3,278.36/x
  3. Step 3: Cross multiply
    5,762.36x = 7,952.16 × 3,278.36
  4. Step 4: Simplify right side
    5,762.36x = 26,070,043.26
  5. Step 5: Solve for x
    x = 26,070,043.26/5,762.36
  6. Step 6: Final answer
    x = 4,524.20

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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.