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Finding the Fourth Proportional to 3,894.97, 5,842.47 and 973.28

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Solution

The fourth proportional to 3,894.97, 5,842.47 and 973.28 is: 1,459.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.97 : 5,842.47 = 973.28 : x
  2. Step 2: Convert to fraction form
    3,894.97/5,842.47 = 973.28/x
  3. Step 3: Cross multiply
    3,894.97x = 5,842.47 × 973.28
  4. Step 4: Simplify right side
    3,894.97x = 5,686,327.56
  5. Step 5: Solve for x
    x = 5,686,327.56/3,894.97
  6. Step 6: Final answer
    x = 1,459.92

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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.