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Finding the Fourth Proportional to 5,195.48, 7,821.32 and 4,743.50

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Solution

The fourth proportional to 5,195.48, 7,821.32 and 4,743.50 is: 7,140.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,195.48 : 7,821.32 = 4,743.50 : x
  2. Step 2: Convert to fraction form
    5,195.48/7,821.32 = 4,743.50/x
  3. Step 3: Cross multiply
    5,195.48x = 7,821.32 × 4,743.50
  4. Step 4: Simplify right side
    5,195.48x = 37,100,368.60
  5. Step 5: Solve for x
    x = 37,100,368.60/5,195.48
  6. Step 6: Final answer
    x = 7,140.90

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.