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Finding the Fourth Proportional to 3,506.58, 5,256.77 and 1,313.78

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Solution

The fourth proportional to 3,506.58, 5,256.77 and 1,313.78 is: 1,969.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506.58 : 5,256.77 = 1,313.78 : x
  2. Step 2: Convert to fraction form
    3,506.58/5,256.77 = 1,313.78/x
  3. Step 3: Cross multiply
    3,506.58x = 5,256.77 × 1,313.78
  4. Step 4: Simplify right side
    3,506.58x = 6,906,206.44
  5. Step 5: Solve for x
    x = 6,906,206.44/3,506.58
  6. Step 6: Final answer
    x = 1,969.50

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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.