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Finding the Fourth Proportional to 2,599.14, 3,873.63 and 2,595.03

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Solution

The fourth proportional to 2,599.14, 3,873.63 and 2,595.03 is: 3,867.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,599.14 : 3,873.63 = 2,595.03 : x
  2. Step 2: Convert to fraction form
    2,599.14/3,873.63 = 2,595.03/x
  3. Step 3: Cross multiply
    2,599.14x = 3,873.63 × 2,595.03
  4. Step 4: Simplify right side
    2,599.14x = 10,052,186.06
  5. Step 5: Solve for x
    x = 10,052,186.06/2,599.14
  6. Step 6: Final answer
    x = 3,867.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.