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Finding the Fourth Proportional to 3,607.46, 4,978.30 and 2,035.56

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Solution

The fourth proportional to 3,607.46, 4,978.30 and 2,035.56 is: 2,809.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,607.46 : 4,978.30 = 2,035.56 : x
  2. Step 2: Convert to fraction form
    3,607.46/4,978.30 = 2,035.56/x
  3. Step 3: Cross multiply
    3,607.46x = 4,978.30 × 2,035.56
  4. Step 4: Simplify right side
    3,607.46x = 10,133,628.35
  5. Step 5: Solve for x
    x = 10,133,628.35/3,607.46
  6. Step 6: Final answer
    x = 2,809.08

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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.