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Finding the Fourth Proportional to 3,598.70, 5,410.20 and 3,064.10

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Solution

The fourth proportional to 3,598.70, 5,410.20 and 3,064.10 is: 4,606.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,598.70 : 5,410.20 = 3,064.10 : x
  2. Step 2: Convert to fraction form
    3,598.70/5,410.20 = 3,064.10/x
  3. Step 3: Cross multiply
    3,598.70x = 5,410.20 × 3,064.10
  4. Step 4: Simplify right side
    3,598.70x = 16,577,393.82
  5. Step 5: Solve for x
    x = 16,577,393.82/3,598.70
  6. Step 6: Final answer
    x = 4,606.50

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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.