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Finding the Fourth Proportional to 3,695.30, 5,539 and 1,842.76

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Solution

The fourth proportional to 3,695.30, 5,539 and 1,842.76 is: 2,762.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,695.30 : 5,539 = 1,842.76 : x
  2. Step 2: Convert to fraction form
    3,695.30/5,539 = 1,842.76/x
  3. Step 3: Cross multiply
    3,695.30x = 5,539 × 1,842.76
  4. Step 4: Simplify right side
    3,695.30x = 10,207,047.64
  5. Step 5: Solve for x
    x = 10,207,047.64/3,695.30
  6. Step 6: Final answer
    x = 2,762.17

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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.