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Finding the Fourth Proportional to 3,775.96, 5,652.09 and 2,384.50

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Solution

The fourth proportional to 3,775.96, 5,652.09 and 2,384.50 is: 3,569.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.96 : 5,652.09 = 2,384.50 : x
  2. Step 2: Convert to fraction form
    3,775.96/5,652.09 = 2,384.50/x
  3. Step 3: Cross multiply
    3,775.96x = 5,652.09 × 2,384.50
  4. Step 4: Simplify right side
    3,775.96x = 13,477,408.61
  5. Step 5: Solve for x
    x = 13,477,408.61/3,775.96
  6. Step 6: Final answer
    x = 3,569.27

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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.