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Finding the Fourth Proportional to 5,235.33, 7,802.34 and 5,069.28

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Solution

The fourth proportional to 5,235.33, 7,802.34 and 5,069.28 is: 7,554.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,235.33 : 7,802.34 = 5,069.28 : x
  2. Step 2: Convert to fraction form
    5,235.33/7,802.34 = 5,069.28/x
  3. Step 3: Cross multiply
    5,235.33x = 7,802.34 × 5,069.28
  4. Step 4: Simplify right side
    5,235.33x = 39,552,246.12
  5. Step 5: Solve for x
    x = 39,552,246.12/5,235.33
  6. Step 6: Final answer
    x = 7,554.87

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.