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Finding the Fourth Proportional to 4,929.60, 6,798.38 and 3,808.82

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Solution

The fourth proportional to 4,929.60, 6,798.38 and 3,808.82 is: 5,252.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,929.60 : 6,798.38 = 3,808.82 : x
  2. Step 2: Convert to fraction form
    4,929.60/6,798.38 = 3,808.82/x
  3. Step 3: Cross multiply
    4,929.60x = 6,798.38 × 3,808.82
  4. Step 4: Simplify right side
    4,929.60x = 25,893,805.71
  5. Step 5: Solve for x
    x = 25,893,805.71/4,929.60
  6. Step 6: Final answer
    x = 5,252.72

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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.