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Finding the Fourth Proportional to 5,232.74, 7,852.18 and 1,948.12

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Solution

The fourth proportional to 5,232.74, 7,852.18 and 1,948.12 is: 2,923.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,232.74 : 7,852.18 = 1,948.12 : x
  2. Step 2: Convert to fraction form
    5,232.74/7,852.18 = 1,948.12/x
  3. Step 3: Cross multiply
    5,232.74x = 7,852.18 × 1,948.12
  4. Step 4: Simplify right side
    5,232.74x = 15,296,988.90
  5. Step 5: Solve for x
    x = 15,296,988.90/5,232.74
  6. Step 6: Final answer
    x = 2,923.32

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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.