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Finding the Fourth Proportional to 5,235.48, 7,853.22 and 2,464.11

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Solution

The fourth proportional to 5,235.48, 7,853.22 and 2,464.11 is: 3,696.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,235.48 : 7,853.22 = 2,464.11 : x
  2. Step 2: Convert to fraction form
    5,235.48/7,853.22 = 2,464.11/x
  3. Step 3: Cross multiply
    5,235.48x = 7,853.22 × 2,464.11
  4. Step 4: Simplify right side
    5,235.48x = 19,351,197.93
  5. Step 5: Solve for x
    x = 19,351,197.93/5,235.48
  6. Step 6: Final answer
    x = 3,696.17

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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.