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Finding the Fourth Proportional to 4,509.95, 6,221.61 and 2,740.37

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Solution

The fourth proportional to 4,509.95, 6,221.61 and 2,740.37 is: 3,780.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,509.95 : 6,221.61 = 2,740.37 : x
  2. Step 2: Convert to fraction form
    4,509.95/6,221.61 = 2,740.37/x
  3. Step 3: Cross multiply
    4,509.95x = 6,221.61 × 2,740.37
  4. Step 4: Simplify right side
    4,509.95x = 17,049,482.29
  5. Step 5: Solve for x
    x = 17,049,482.29/4,509.95
  6. Step 6: Final answer
    x = 3,780.42

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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.