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Finding the Fourth Proportional to 3,842.30, 5,762.75 and 1,069.16

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Solution

The fourth proportional to 3,842.30, 5,762.75 and 1,069.16 is: 1,603.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.30 : 5,762.75 = 1,069.16 : x
  2. Step 2: Convert to fraction form
    3,842.30/5,762.75 = 1,069.16/x
  3. Step 3: Cross multiply
    3,842.30x = 5,762.75 × 1,069.16
  4. Step 4: Simplify right side
    3,842.30x = 6,161,267.63
  5. Step 5: Solve for x
    x = 6,161,267.63/3,842.30
  6. Step 6: Final answer
    x = 1,603.54

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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.