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Finding the Fourth Proportional to 4,963.84, 7,437.84 and 2,623.76

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Solution

The fourth proportional to 4,963.84, 7,437.84 and 2,623.76 is: 3,931.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,963.84 : 7,437.84 = 2,623.76 : x
  2. Step 2: Convert to fraction form
    4,963.84/7,437.84 = 2,623.76/x
  3. Step 3: Cross multiply
    4,963.84x = 7,437.84 × 2,623.76
  4. Step 4: Simplify right side
    4,963.84x = 19,515,107.08
  5. Step 5: Solve for x
    x = 19,515,107.08/4,963.84
  6. Step 6: Final answer
    x = 3,931.45

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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.