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Finding the Fourth Proportional to 3,376.42, 5,064.63 and 1,185.77

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Solution

The fourth proportional to 3,376.42, 5,064.63 and 1,185.77 is: 1,778.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,376.42 : 5,064.63 = 1,185.77 : x
  2. Step 2: Convert to fraction form
    3,376.42/5,064.63 = 1,185.77/x
  3. Step 3: Cross multiply
    3,376.42x = 5,064.63 × 1,185.77
  4. Step 4: Simplify right side
    3,376.42x = 6,005,486.32
  5. Step 5: Solve for x
    x = 6,005,486.32/3,376.42
  6. Step 6: Final answer
    x = 1,778.66

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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.