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Finding the Fourth Proportional to 5,934.50, 8,184.19 and 5,094.93

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Solution

The fourth proportional to 5,934.50, 8,184.19 and 5,094.93 is: 7,026.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,934.50 : 8,184.19 = 5,094.93 : x
  2. Step 2: Convert to fraction form
    5,934.50/8,184.19 = 5,094.93/x
  3. Step 3: Cross multiply
    5,934.50x = 8,184.19 × 5,094.93
  4. Step 4: Simplify right side
    5,934.50x = 41,697,902.66
  5. Step 5: Solve for x
    x = 41,697,902.66/5,934.50
  6. Step 6: Final answer
    x = 7,026.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.