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Finding the Fourth Proportional to 3,378.51, 5,064.68 and 1,186.04

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Solution

The fourth proportional to 3,378.51, 5,064.68 and 1,186.04 is: 1,777.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,378.51 : 5,064.68 = 1,186.04 : x
  2. Step 2: Convert to fraction form
    3,378.51/5,064.68 = 1,186.04/x
  3. Step 3: Cross multiply
    3,378.51x = 5,064.68 × 1,186.04
  4. Step 4: Simplify right side
    3,378.51x = 6,006,913.07
  5. Step 5: Solve for x
    x = 6,006,913.07/3,378.51
  6. Step 6: Final answer
    x = 1,777.98

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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.