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Finding the Fourth Proportional to 5,257.83, 7,254.93 and 3,019.30

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Solution

The fourth proportional to 5,257.83, 7,254.93 and 3,019.30 is: 4,166.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,257.83 : 7,254.93 = 3,019.30 : x
  2. Step 2: Convert to fraction form
    5,257.83/7,254.93 = 3,019.30/x
  3. Step 3: Cross multiply
    5,257.83x = 7,254.93 × 3,019.30
  4. Step 4: Simplify right side
    5,257.83x = 21,904,810.15
  5. Step 5: Solve for x
    x = 21,904,810.15/5,257.83
  6. Step 6: Final answer
    x = 4,166.13

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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.