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Finding the Fourth Proportional to 4,709.09, 6,497.24 and 3,365.11

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Solution

The fourth proportional to 4,709.09, 6,497.24 and 3,365.11 is: 4,642.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.09 : 6,497.24 = 3,365.11 : x
  2. Step 2: Convert to fraction form
    4,709.09/6,497.24 = 3,365.11/x
  3. Step 3: Cross multiply
    4,709.09x = 6,497.24 × 3,365.11
  4. Step 4: Simplify right side
    4,709.09x = 21,863,894.23
  5. Step 5: Solve for x
    x = 21,863,894.23/4,709.09
  6. Step 6: Final answer
    x = 4,642.91

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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.