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Finding the Fourth Proportional to 7,458, 10,292.26 and 4,100.64

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Solution

The fourth proportional to 7,458, 10,292.26 and 4,100.64 is: 5,659.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,458 : 10,292.26 = 4,100.64 : x
  2. Step 2: Convert to fraction form
    7,458/10,292.26 = 4,100.64/x
  3. Step 3: Cross multiply
    7,458x = 10,292.26 × 4,100.64
  4. Step 4: Simplify right side
    7,458x = 42,204,853.05
  5. Step 5: Solve for x
    x = 42,204,853.05/7,458
  6. Step 6: Final answer
    x = 5,659.00

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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.