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Finding the Fourth Proportional to 5,065.84, 7,605.16 and 3,534.96

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Solution

The fourth proportional to 5,065.84, 7,605.16 and 3,534.96 is: 5,306.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,065.84 : 7,605.16 = 3,534.96 : x
  2. Step 2: Convert to fraction form
    5,065.84/7,605.16 = 3,534.96/x
  3. Step 3: Cross multiply
    5,065.84x = 7,605.16 × 3,534.96
  4. Step 4: Simplify right side
    5,065.84x = 26,883,936.39
  5. Step 5: Solve for x
    x = 26,883,936.39/5,065.84
  6. Step 6: Final answer
    x = 5,306.91

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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.