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Finding the Fourth Proportional to 3,376.30, 5,065.13 and 1,184.74

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Solution

The fourth proportional to 3,376.30, 5,065.13 and 1,184.74 is: 1,777.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,376.30 : 5,065.13 = 1,184.74 : x
  2. Step 2: Convert to fraction form
    3,376.30/5,065.13 = 1,184.74/x
  3. Step 3: Cross multiply
    3,376.30x = 5,065.13 × 1,184.74
  4. Step 4: Simplify right side
    3,376.30x = 6,000,852.04
  5. Step 5: Solve for x
    x = 6,000,852.04/3,376.30
  6. Step 6: Final answer
    x = 1,777.35

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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.