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Finding the Fourth Proportional to 5,541.84, 8,307.36 and 1,842.17

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Solution

The fourth proportional to 5,541.84, 8,307.36 and 1,842.17 is: 2,761.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,541.84 : 8,307.36 = 1,842.17 : x
  2. Step 2: Convert to fraction form
    5,541.84/8,307.36 = 1,842.17/x
  3. Step 3: Cross multiply
    5,541.84x = 8,307.36 × 1,842.17
  4. Step 4: Simplify right side
    5,541.84x = 15,303,527.83
  5. Step 5: Solve for x
    x = 15,303,527.83/5,541.84
  6. Step 6: Final answer
    x = 2,761.45

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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.