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Finding the Fourth Proportional to 3,507, 4,839.72 and 1,935.24

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Solution

The fourth proportional to 3,507, 4,839.72 and 1,935.24 is: 2,670.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,507 : 4,839.72 = 1,935.24 : x
  2. Step 2: Convert to fraction form
    3,507/4,839.72 = 1,935.24/x
  3. Step 3: Cross multiply
    3,507x = 4,839.72 × 1,935.24
  4. Step 4: Simplify right side
    3,507x = 9,366,019.73
  5. Step 5: Solve for x
    x = 9,366,019.73/3,507
  6. Step 6: Final answer
    x = 2,670.66

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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.