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Finding the Fourth Proportional to 5,833.17, 8,054.80 and 5,002.11

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Solution

The fourth proportional to 5,833.17, 8,054.80 and 5,002.11 is: 6,907.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,833.17 : 8,054.80 = 5,002.11 : x
  2. Step 2: Convert to fraction form
    5,833.17/8,054.80 = 5,002.11/x
  3. Step 3: Cross multiply
    5,833.17x = 8,054.80 × 5,002.11
  4. Step 4: Simplify right side
    5,833.17x = 40,290,995.63
  5. Step 5: Solve for x
    x = 40,290,995.63/5,833.17
  6. Step 6: Final answer
    x = 6,907.22

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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.