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Finding the Fourth Proportional to 3,376.64, 5,066.58 and 1,186.40

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Solution

The fourth proportional to 3,376.64, 5,066.58 and 1,186.40 is: 1,780.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,376.64 : 5,066.58 = 1,186.40 : x
  2. Step 2: Convert to fraction form
    3,376.64/5,066.58 = 1,186.40/x
  3. Step 3: Cross multiply
    3,376.64x = 5,066.58 × 1,186.40
  4. Step 4: Simplify right side
    3,376.64x = 6,010,990.51
  5. Step 5: Solve for x
    x = 6,010,990.51/3,376.64
  6. Step 6: Final answer
    x = 1,780.17

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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.