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Finding the Fourth Proportional to 4,533.52, 6,255.66 and 2,544.06

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Solution

The fourth proportional to 4,533.52, 6,255.66 and 2,544.06 is: 3,510.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,533.52 : 6,255.66 = 2,544.06 : x
  2. Step 2: Convert to fraction form
    4,533.52/6,255.66 = 2,544.06/x
  3. Step 3: Cross multiply
    4,533.52x = 6,255.66 × 2,544.06
  4. Step 4: Simplify right side
    4,533.52x = 15,914,774.38
  5. Step 5: Solve for x
    x = 15,914,774.38/4,533.52
  6. Step 6: Final answer
    x = 3,510.47

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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.