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Finding the Fourth Proportional to 7,289.01, 10,935.24 and 2,358.27

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Solution

The fourth proportional to 7,289.01, 10,935.24 and 2,358.27 is: 3,537.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,289.01 : 10,935.24 = 2,358.27 : x
  2. Step 2: Convert to fraction form
    7,289.01/10,935.24 = 2,358.27/x
  3. Step 3: Cross multiply
    7,289.01x = 10,935.24 × 2,358.27
  4. Step 4: Simplify right side
    7,289.01x = 25,788,248.43
  5. Step 5: Solve for x
    x = 25,788,248.43/7,289.01
  6. Step 6: Final answer
    x = 3,537.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.