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Finding the Fourth Proportional to 3,895.48, 5,843.24 and 973.79

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Solution

The fourth proportional to 3,895.48, 5,843.24 and 973.79 is: 1,460.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,895.48 : 5,843.24 = 973.79 : x
  2. Step 2: Convert to fraction form
    3,895.48/5,843.24 = 973.79/x
  3. Step 3: Cross multiply
    3,895.48x = 5,843.24 × 973.79
  4. Step 4: Simplify right side
    3,895.48x = 5,690,080.16
  5. Step 5: Solve for x
    x = 5,690,080.16/3,895.48
  6. Step 6: Final answer
    x = 1,460.69

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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.