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Finding the Fourth Proportional to 5,152.93, 7,729.32 and 3,570.19

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Solution

The fourth proportional to 5,152.93, 7,729.32 and 3,570.19 is: 5,355.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,152.93 : 7,729.32 = 3,570.19 : x
  2. Step 2: Convert to fraction form
    5,152.93/7,729.32 = 3,570.19/x
  3. Step 3: Cross multiply
    5,152.93x = 7,729.32 × 3,570.19
  4. Step 4: Simplify right side
    5,152.93x = 27,595,140.97
  5. Step 5: Solve for x
    x = 27,595,140.97/5,152.93
  6. Step 6: Final answer
    x = 5,355.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.