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Finding the Fourth Proportional to 5,262.69, 7,261.19 and 3,564.32

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Solution

The fourth proportional to 5,262.69, 7,261.19 and 3,564.32 is: 4,917.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,262.69 : 7,261.19 = 3,564.32 : x
  2. Step 2: Convert to fraction form
    5,262.69/7,261.19 = 3,564.32/x
  3. Step 3: Cross multiply
    5,262.69x = 7,261.19 × 3,564.32
  4. Step 4: Simplify right side
    5,262.69x = 25,881,204.74
  5. Step 5: Solve for x
    x = 25,881,204.74/5,262.69
  6. Step 6: Final answer
    x = 4,917.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.