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Finding the Fourth Proportional to 3,601.68, 5,399.64 and 1,410

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Solution

The fourth proportional to 3,601.68, 5,399.64 and 1,410 is: 2,113.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,601.68 : 5,399.64 = 1,410 : x
  2. Step 2: Convert to fraction form
    3,601.68/5,399.64 = 1,410/x
  3. Step 3: Cross multiply
    3,601.68x = 5,399.64 × 1,410
  4. Step 4: Simplify right side
    3,601.68x = 7,613,492.40
  5. Step 5: Solve for x
    x = 7,613,492.40/3,601.68
  6. Step 6: Final answer
    x = 2,113.87

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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.