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Finding the Fourth Proportional to 5,745.34, 7,929.30 and 3,506.74

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Solution

The fourth proportional to 5,745.34, 7,929.30 and 3,506.74 is: 4,839.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,745.34 : 7,929.30 = 3,506.74 : x
  2. Step 2: Convert to fraction form
    5,745.34/7,929.30 = 3,506.74/x
  3. Step 3: Cross multiply
    5,745.34x = 7,929.30 × 3,506.74
  4. Step 4: Simplify right side
    5,745.34x = 27,805,986.81
  5. Step 5: Solve for x
    x = 27,805,986.81/5,745.34
  6. Step 6: Final answer
    x = 4,839.75

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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.