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Finding the Fourth Proportional to 5,329.84, 7,352.60 and 4,142.78

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Solution

The fourth proportional to 5,329.84, 7,352.60 and 4,142.78 is: 5,715.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,329.84 : 7,352.60 = 4,142.78 : x
  2. Step 2: Convert to fraction form
    5,329.84/7,352.60 = 4,142.78/x
  3. Step 3: Cross multiply
    5,329.84x = 7,352.60 × 4,142.78
  4. Step 4: Simplify right side
    5,329.84x = 30,460,204.23
  5. Step 5: Solve for x
    x = 30,460,204.23/5,329.84
  6. Step 6: Final answer
    x = 5,715.03

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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.