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Finding the Fourth Proportional to 3,666.57, 5,058.53 and 2,408.30

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Solution

The fourth proportional to 3,666.57, 5,058.53 and 2,408.30 is: 3,322.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,666.57 : 5,058.53 = 2,408.30 : x
  2. Step 2: Convert to fraction form
    3,666.57/5,058.53 = 2,408.30/x
  3. Step 3: Cross multiply
    3,666.57x = 5,058.53 × 2,408.30
  4. Step 4: Simplify right side
    3,666.57x = 12,182,476.47
  5. Step 5: Solve for x
    x = 12,182,476.47/3,666.57
  6. Step 6: Final answer
    x = 3,322.58

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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.