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Finding the Fourth Proportional to 3,756.57, 5,184.03 and 2,184.63

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Solution

The fourth proportional to 3,756.57, 5,184.03 and 2,184.63 is: 3,014.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,756.57 : 5,184.03 = 2,184.63 : x
  2. Step 2: Convert to fraction form
    3,756.57/5,184.03 = 2,184.63/x
  3. Step 3: Cross multiply
    3,756.57x = 5,184.03 × 2,184.63
  4. Step 4: Simplify right side
    3,756.57x = 11,325,187.46
  5. Step 5: Solve for x
    x = 11,325,187.46/3,756.57
  6. Step 6: Final answer
    x = 3,014.77

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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.