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Finding the Fourth Proportional to 4,584, 6,327.36 and 2,928

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Solution

The fourth proportional to 4,584, 6,327.36 and 2,928 is: 4,041.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,584 : 6,327.36 = 2,928 : x
  2. Step 2: Convert to fraction form
    4,584/6,327.36 = 2,928/x
  3. Step 3: Cross multiply
    4,584x = 6,327.36 × 2,928
  4. Step 4: Simplify right side
    4,584x = 18,526,510.08
  5. Step 5: Solve for x
    x = 18,526,510.08/4,584
  6. Step 6: Final answer
    x = 4,041.56

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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.