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Finding the Fourth Proportional to 4,364, 6,546.12 and 1,077.08

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Solution

The fourth proportional to 4,364, 6,546.12 and 1,077.08 is: 1,615.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,364 : 6,546.12 = 1,077.08 : x
  2. Step 2: Convert to fraction form
    4,364/6,546.12 = 1,077.08/x
  3. Step 3: Cross multiply
    4,364x = 6,546.12 × 1,077.08
  4. Step 4: Simplify right side
    4,364x = 7,050,694.93
  5. Step 5: Solve for x
    x = 7,050,694.93/4,364
  6. Step 6: Final answer
    x = 1,615.65

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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.