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Finding the Fourth Proportional to 5,218.34, 7,158.42 and 4,935.87

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Solution

The fourth proportional to 5,218.34, 7,158.42 and 4,935.87 is: 6,770.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,218.34 : 7,158.42 = 4,935.87 : x
  2. Step 2: Convert to fraction form
    5,218.34/7,158.42 = 4,935.87/x
  3. Step 3: Cross multiply
    5,218.34x = 7,158.42 × 4,935.87
  4. Step 4: Simplify right side
    5,218.34x = 35,333,030.53
  5. Step 5: Solve for x
    x = 35,333,030.53/5,218.34
  6. Step 6: Final answer
    x = 6,770.94

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.