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Finding the Fourth Proportional to 6,544, 9,030.72 and 3,751.12

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Solution

The fourth proportional to 6,544, 9,030.72 and 3,751.12 is: 5,176.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,544 : 9,030.72 = 3,751.12 : x
  2. Step 2: Convert to fraction form
    6,544/9,030.72 = 3,751.12/x
  3. Step 3: Cross multiply
    6,544x = 9,030.72 × 3,751.12
  4. Step 4: Simplify right side
    6,544x = 33,875,314.41
  5. Step 5: Solve for x
    x = 33,875,314.41/6,544
  6. Step 6: Final answer
    x = 5,176.55

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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.