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Finding the Fourth Proportional to 4,842.84, 6,677.78 and 3,348.16

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Solution

The fourth proportional to 4,842.84, 6,677.78 and 3,348.16 is: 4,616.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,842.84 : 6,677.78 = 3,348.16 : x
  2. Step 2: Convert to fraction form
    4,842.84/6,677.78 = 3,348.16/x
  3. Step 3: Cross multiply
    4,842.84x = 6,677.78 × 3,348.16
  4. Step 4: Simplify right side
    4,842.84x = 22,358,275.88
  5. Step 5: Solve for x
    x = 22,358,275.88/4,842.84
  6. Step 6: Final answer
    x = 4,616.77

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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.