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Finding the Fourth Proportional to 3,583.80, 4,952.07 and 2,803.77

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Solution

The fourth proportional to 3,583.80, 4,952.07 and 2,803.77 is: 3,874.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,583.80 : 4,952.07 = 2,803.77 : x
  2. Step 2: Convert to fraction form
    3,583.80/4,952.07 = 2,803.77/x
  3. Step 3: Cross multiply
    3,583.80x = 4,952.07 × 2,803.77
  4. Step 4: Simplify right side
    3,583.80x = 13,884,473.36
  5. Step 5: Solve for x
    x = 13,884,473.36/3,583.80
  6. Step 6: Final answer
    x = 3,874.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.