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Finding the Fourth Proportional to 4,304.84, 6,456.06 and 1,184.11

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Solution

The fourth proportional to 4,304.84, 6,456.06 and 1,184.11 is: 1,775.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,304.84 : 6,456.06 = 1,184.11 : x
  2. Step 2: Convert to fraction form
    4,304.84/6,456.06 = 1,184.11/x
  3. Step 3: Cross multiply
    4,304.84x = 6,456.06 × 1,184.11
  4. Step 4: Simplify right side
    4,304.84x = 7,644,669.07
  5. Step 5: Solve for x
    x = 7,644,669.07/4,304.84
  6. Step 6: Final answer
    x = 1,775.83

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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.