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Finding the Fourth Proportional to 5,699.82, 8,549.64 and 2,410.80

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Solution

The fourth proportional to 5,699.82, 8,549.64 and 2,410.80 is: 3,616.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,699.82 : 8,549.64 = 2,410.80 : x
  2. Step 2: Convert to fraction form
    5,699.82/8,549.64 = 2,410.80/x
  3. Step 3: Cross multiply
    5,699.82x = 8,549.64 × 2,410.80
  4. Step 4: Simplify right side
    5,699.82x = 20,611,472.11
  5. Step 5: Solve for x
    x = 20,611,472.11/5,699.82
  6. Step 6: Final answer
    x = 3,616.16

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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.