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Finding the Fourth Proportional to 5,235.04, 7,222.80 and 4,736.08

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Solution

The fourth proportional to 5,235.04, 7,222.80 and 4,736.08 is: 6,534.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,235.04 : 7,222.80 = 4,736.08 : x
  2. Step 2: Convert to fraction form
    5,235.04/7,222.80 = 4,736.08/x
  3. Step 3: Cross multiply
    5,235.04x = 7,222.80 × 4,736.08
  4. Step 4: Simplify right side
    5,235.04x = 34,207,758.62
  5. Step 5: Solve for x
    x = 34,207,758.62/5,235.04
  6. Step 6: Final answer
    x = 6,534.38

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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.