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Finding the Fourth Proportional to 5,458.81, 7,533.16 and 2,974.81

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Solution

The fourth proportional to 5,458.81, 7,533.16 and 2,974.81 is: 4,105.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,458.81 : 7,533.16 = 2,974.81 : x
  2. Step 2: Convert to fraction form
    5,458.81/7,533.16 = 2,974.81/x
  3. Step 3: Cross multiply
    5,458.81x = 7,533.16 × 2,974.81
  4. Step 4: Simplify right side
    5,458.81x = 22,409,719.70
  5. Step 5: Solve for x
    x = 22,409,719.70/5,458.81
  6. Step 6: Final answer
    x = 4,105.24

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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.