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Finding the Fourth Proportional to 3,652.56, 5,478.84 and 1,461.81

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Solution

The fourth proportional to 3,652.56, 5,478.84 and 1,461.81 is: 2,192.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,652.56 : 5,478.84 = 1,461.81 : x
  2. Step 2: Convert to fraction form
    3,652.56/5,478.84 = 1,461.81/x
  3. Step 3: Cross multiply
    3,652.56x = 5,478.84 × 1,461.81
  4. Step 4: Simplify right side
    3,652.56x = 8,009,023.10
  5. Step 5: Solve for x
    x = 8,009,023.10/3,652.56
  6. Step 6: Final answer
    x = 2,192.72

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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.