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Finding the Fourth Proportional to 5,235.36, 7,852.98 and 1,340.06

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Solution

The fourth proportional to 5,235.36, 7,852.98 and 1,340.06 is: 2,010.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,235.36 : 7,852.98 = 1,340.06 : x
  2. Step 2: Convert to fraction form
    5,235.36/7,852.98 = 1,340.06/x
  3. Step 3: Cross multiply
    5,235.36x = 7,852.98 × 1,340.06
  4. Step 4: Simplify right side
    5,235.36x = 10,523,464.38
  5. Step 5: Solve for x
    x = 10,523,464.38/5,235.36
  6. Step 6: Final answer
    x = 2,010.07

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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.