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Finding the Fourth Proportional to 7,458.57, 10,292.62 and 4,101.39

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Solution

The fourth proportional to 7,458.57, 10,292.62 and 4,101.39 is: 5,659.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,458.57 : 10,292.62 = 4,101.39 : x
  2. Step 2: Convert to fraction form
    7,458.57/10,292.62 = 4,101.39/x
  3. Step 3: Cross multiply
    7,458.57x = 10,292.62 × 4,101.39
  4. Step 4: Simplify right side
    7,458.57x = 42,214,048.74
  5. Step 5: Solve for x
    x = 42,214,048.74/7,458.57
  6. Step 6: Final answer
    x = 5,659.80

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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.