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Finding the Fourth Proportional to 3,736.71, 5,598.36 and 2,564.76

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Solution

The fourth proportional to 3,736.71, 5,598.36 and 2,564.76 is: 3,842.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,736.71 : 5,598.36 = 2,564.76 : x
  2. Step 2: Convert to fraction form
    3,736.71/5,598.36 = 2,564.76/x
  3. Step 3: Cross multiply
    3,736.71x = 5,598.36 × 2,564.76
  4. Step 4: Simplify right side
    3,736.71x = 14,358,449.79
  5. Step 5: Solve for x
    x = 14,358,449.79/3,736.71
  6. Step 6: Final answer
    x = 3,842.54

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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.