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Finding the Fourth Proportional to 3,629.76, 5,005.76 and 2,301.12

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Solution

The fourth proportional to 3,629.76, 5,005.76 and 2,301.12 is: 3,173.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,629.76 : 5,005.76 = 2,301.12 : x
  2. Step 2: Convert to fraction form
    3,629.76/5,005.76 = 2,301.12/x
  3. Step 3: Cross multiply
    3,629.76x = 5,005.76 × 2,301.12
  4. Step 4: Simplify right side
    3,629.76x = 11,518,854.45
  5. Step 5: Solve for x
    x = 11,518,854.45/3,629.76
  6. Step 6: Final answer
    x = 3,173.45

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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.