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Finding the Fourth Proportional to 4,358.57, 6,538.77 and 1,356.54

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Solution

The fourth proportional to 4,358.57, 6,538.77 and 1,356.54 is: 2,035.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,358.57 : 6,538.77 = 1,356.54 : x
  2. Step 2: Convert to fraction form
    4,358.57/6,538.77 = 1,356.54/x
  3. Step 3: Cross multiply
    4,358.57x = 6,538.77 × 1,356.54
  4. Step 4: Simplify right side
    4,358.57x = 8,870,103.06
  5. Step 5: Solve for x
    x = 8,870,103.06/4,358.57
  6. Step 6: Final answer
    x = 2,035.10

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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.