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Finding the Fourth Proportional to 3,565.54, 5,348.94 and 1,256.50

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Solution

The fourth proportional to 3,565.54, 5,348.94 and 1,256.50 is: 1,884.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,565.54 : 5,348.94 = 1,256.50 : x
  2. Step 2: Convert to fraction form
    3,565.54/5,348.94 = 1,256.50/x
  3. Step 3: Cross multiply
    3,565.54x = 5,348.94 × 1,256.50
  4. Step 4: Simplify right side
    3,565.54x = 6,720,943.11
  5. Step 5: Solve for x
    x = 6,720,943.11/3,565.54
  6. Step 6: Final answer
    x = 1,884.97

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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.