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Finding the Fourth Proportional to 2,358.14, 3,559.37 and 2,358.14

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Solution

The fourth proportional to 2,358.14, 3,559.37 and 2,358.14 is: 3,559.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358.14 : 3,559.37 = 2,358.14 : x
  2. Step 2: Convert to fraction form
    2,358.14/3,559.37 = 2,358.14/x
  3. Step 3: Cross multiply
    2,358.14x = 3,559.37 × 2,358.14
  4. Step 4: Simplify right side
    2,358.14x = 8,393,463.18
  5. Step 5: Solve for x
    x = 8,393,463.18/2,358.14
  6. Step 6: Final answer
    x = 3,559.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.