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Finding the Fourth Proportional to 3,722.26, 5,583.28 and 948.92

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Solution

The fourth proportional to 3,722.26, 5,583.28 and 948.92 is: 1,423.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,722.26 : 5,583.28 = 948.92 : x
  2. Step 2: Convert to fraction form
    3,722.26/5,583.28 = 948.92/x
  3. Step 3: Cross multiply
    3,722.26x = 5,583.28 × 948.92
  4. Step 4: Simplify right side
    3,722.26x = 5,298,053.40
  5. Step 5: Solve for x
    x = 5,298,053.40/3,722.26
  6. Step 6: Final answer
    x = 1,423.35

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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.