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Finding the Fourth Proportional to 5,301.28, 7,959.12 and 3,653.74

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Solution

The fourth proportional to 5,301.28, 7,959.12 and 3,653.74 is: 5,485.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,301.28 : 7,959.12 = 3,653.74 : x
  2. Step 2: Convert to fraction form
    5,301.28/7,959.12 = 3,653.74/x
  3. Step 3: Cross multiply
    5,301.28x = 7,959.12 × 3,653.74
  4. Step 4: Simplify right side
    5,301.28x = 29,080,555.11
  5. Step 5: Solve for x
    x = 29,080,555.11/5,301.28
  6. Step 6: Final answer
    x = 5,485.57

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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.