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Finding the Fourth Proportional to 6,178.39, 8,526.32 and 3,660.46

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Solution

The fourth proportional to 6,178.39, 8,526.32 and 3,660.46 is: 5,051.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,178.39 : 8,526.32 = 3,660.46 : x
  2. Step 2: Convert to fraction form
    6,178.39/8,526.32 = 3,660.46/x
  3. Step 3: Cross multiply
    6,178.39x = 8,526.32 × 3,660.46
  4. Step 4: Simplify right side
    6,178.39x = 31,210,253.31
  5. Step 5: Solve for x
    x = 31,210,253.31/6,178.39
  6. Step 6: Final answer
    x = 5,051.52

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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.