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Finding the Fourth Proportional to 5,841.42, 8,053.90 and 5,084.07

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Solution

The fourth proportional to 5,841.42, 8,053.90 and 5,084.07 is: 7,009.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,841.42 : 8,053.90 = 5,084.07 : x
  2. Step 2: Convert to fraction form
    5,841.42/8,053.90 = 5,084.07/x
  3. Step 3: Cross multiply
    5,841.42x = 8,053.90 × 5,084.07
  4. Step 4: Simplify right side
    5,841.42x = 40,946,591.37
  5. Step 5: Solve for x
    x = 40,946,591.37/5,841.42
  6. Step 6: Final answer
    x = 7,009.70

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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.