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Finding the Fourth Proportional to 5,335, 7,366.08 and 4,338.72

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Solution

The fourth proportional to 5,335, 7,366.08 and 4,338.72 is: 5,990.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,335 : 7,366.08 = 4,338.72 : x
  2. Step 2: Convert to fraction form
    5,335/7,366.08 = 4,338.72/x
  3. Step 3: Cross multiply
    5,335x = 7,366.08 × 4,338.72
  4. Step 4: Simplify right side
    5,335x = 31,959,358.62
  5. Step 5: Solve for x
    x = 31,959,358.62/5,335
  6. Step 6: Final answer
    x = 5,990.51

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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.