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Finding the Fourth Proportional to 4,924.84, 7,384.80 and 1,636.78

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Solution

The fourth proportional to 4,924.84, 7,384.80 and 1,636.78 is: 2,454.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,924.84 : 7,384.80 = 1,636.78 : x
  2. Step 2: Convert to fraction form
    4,924.84/7,384.80 = 1,636.78/x
  3. Step 3: Cross multiply
    4,924.84x = 7,384.80 × 1,636.78
  4. Step 4: Simplify right side
    4,924.84x = 12,087,292.94
  5. Step 5: Solve for x
    x = 12,087,292.94/4,924.84
  6. Step 6: Final answer
    x = 2,454.35

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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.