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Finding the Fourth Proportional to 4,221.06, 5,824.95 and 2,358.06

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Solution

The fourth proportional to 4,221.06, 5,824.95 and 2,358.06 is: 3,254.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,221.06 : 5,824.95 = 2,358.06 : x
  2. Step 2: Convert to fraction form
    4,221.06/5,824.95 = 2,358.06/x
  3. Step 3: Cross multiply
    4,221.06x = 5,824.95 × 2,358.06
  4. Step 4: Simplify right side
    4,221.06x = 13,735,581.60
  5. Step 5: Solve for x
    x = 13,735,581.60/4,221.06
  6. Step 6: Final answer
    x = 3,254.06

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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.