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Finding the Fourth Proportional to 5,752.11, 7,938.71 and 3,235.24

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Solution

The fourth proportional to 5,752.11, 7,938.71 and 3,235.24 is: 4,465.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,752.11 : 7,938.71 = 3,235.24 : x
  2. Step 2: Convert to fraction form
    5,752.11/7,938.71 = 3,235.24/x
  3. Step 3: Cross multiply
    5,752.11x = 7,938.71 × 3,235.24
  4. Step 4: Simplify right side
    5,752.11x = 25,683,638.02
  5. Step 5: Solve for x
    x = 25,683,638.02/5,752.11
  6. Step 6: Final answer
    x = 4,465.08

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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.