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Finding the Fourth Proportional to 5,693.34, 7,854.93 and 3,333.81

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Solution

The fourth proportional to 5,693.34, 7,854.93 and 3,333.81 is: 4,599.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,693.34 : 7,854.93 = 3,333.81 : x
  2. Step 2: Convert to fraction form
    5,693.34/7,854.93 = 3,333.81/x
  3. Step 3: Cross multiply
    5,693.34x = 7,854.93 × 3,333.81
  4. Step 4: Simplify right side
    5,693.34x = 26,186,844.18
  5. Step 5: Solve for x
    x = 26,186,844.18/5,693.34
  6. Step 6: Final answer
    x = 4,599.56

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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.