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Finding the Fourth Proportional to 3,507.88, 5,261.84 and 910.84

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Solution

The fourth proportional to 3,507.88, 5,261.84 and 910.84 is: 1,366.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,507.88 : 5,261.84 = 910.84 : x
  2. Step 2: Convert to fraction form
    3,507.88/5,261.84 = 910.84/x
  3. Step 3: Cross multiply
    3,507.88x = 5,261.84 × 910.84
  4. Step 4: Simplify right side
    3,507.88x = 4,792,663.48
  5. Step 5: Solve for x
    x = 4,792,663.48/3,507.88
  6. Step 6: Final answer
    x = 1,366.26

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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.