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Finding the Fourth Proportional to 5,155.18, 7,733.31 and 1,693.06

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Solution

The fourth proportional to 5,155.18, 7,733.31 and 1,693.06 is: 2,539.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,155.18 : 7,733.31 = 1,693.06 : x
  2. Step 2: Convert to fraction form
    5,155.18/7,733.31 = 1,693.06/x
  3. Step 3: Cross multiply
    5,155.18x = 7,733.31 × 1,693.06
  4. Step 4: Simplify right side
    5,155.18x = 13,092,957.83
  5. Step 5: Solve for x
    x = 13,092,957.83/5,155.18
  6. Step 6: Final answer
    x = 2,539.77

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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.