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Finding the Fourth Proportional to 4,935.42, 7,403.40 and 2,013.84

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Solution

The fourth proportional to 4,935.42, 7,403.40 and 2,013.84 is: 3,020.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,935.42 : 7,403.40 = 2,013.84 : x
  2. Step 2: Convert to fraction form
    4,935.42/7,403.40 = 2,013.84/x
  3. Step 3: Cross multiply
    4,935.42x = 7,403.40 × 2,013.84
  4. Step 4: Simplify right side
    4,935.42x = 14,909,263.06
  5. Step 5: Solve for x
    x = 14,909,263.06/4,935.42
  6. Step 6: Final answer
    x = 3,020.87

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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.