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Finding the Fourth Proportional to 3,896.47, 5,844.72 and 974.77

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Solution

The fourth proportional to 3,896.47, 5,844.72 and 974.77 is: 1,462.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896.47 : 5,844.72 = 974.77 : x
  2. Step 2: Convert to fraction form
    3,896.47/5,844.72 = 974.77/x
  3. Step 3: Cross multiply
    3,896.47x = 5,844.72 × 974.77
  4. Step 4: Simplify right side
    3,896.47x = 5,697,246.76
  5. Step 5: Solve for x
    x = 5,697,246.76/3,896.47
  6. Step 6: Final answer
    x = 1,462.16

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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.