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Finding the Fourth Proportional to 3,368.94, 5,054.17 and 1,029.15

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Solution

The fourth proportional to 3,368.94, 5,054.17 and 1,029.15 is: 1,543.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,368.94 : 5,054.17 = 1,029.15 : x
  2. Step 2: Convert to fraction form
    3,368.94/5,054.17 = 1,029.15/x
  3. Step 3: Cross multiply
    3,368.94x = 5,054.17 × 1,029.15
  4. Step 4: Simplify right side
    3,368.94x = 5,201,499.06
  5. Step 5: Solve for x
    x = 5,201,499.06/3,368.94
  6. Step 6: Final answer
    x = 1,543.96

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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.