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Finding the Fourth Proportional to 5,291.94, 7,299.55 and 3,405.97

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Solution

The fourth proportional to 5,291.94, 7,299.55 and 3,405.97 is: 4,698.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,291.94 : 7,299.55 = 3,405.97 : x
  2. Step 2: Convert to fraction form
    5,291.94/7,299.55 = 3,405.97/x
  3. Step 3: Cross multiply
    5,291.94x = 7,299.55 × 3,405.97
  4. Step 4: Simplify right side
    5,291.94x = 24,862,048.31
  5. Step 5: Solve for x
    x = 24,862,048.31/5,291.94
  6. Step 6: Final answer
    x = 4,698.10

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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.