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Finding the Fourth Proportional to 3,666.84, 5,057.16 and 2,406.93

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Solution

The fourth proportional to 3,666.84, 5,057.16 and 2,406.93 is: 3,319.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,666.84 : 5,057.16 = 2,406.93 : x
  2. Step 2: Convert to fraction form
    3,666.84/5,057.16 = 2,406.93/x
  3. Step 3: Cross multiply
    3,666.84x = 5,057.16 × 2,406.93
  4. Step 4: Simplify right side
    3,666.84x = 12,172,230.12
  5. Step 5: Solve for x
    x = 12,172,230.12/3,666.84
  6. Step 6: Final answer
    x = 3,319.54

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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.