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Finding the Fourth Proportional to 4,705.35, 6,486.78 and 2,935.77

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Solution

The fourth proportional to 4,705.35, 6,486.78 and 2,935.77 is: 4,047.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,705.35 : 6,486.78 = 2,935.77 : x
  2. Step 2: Convert to fraction form
    4,705.35/6,486.78 = 2,935.77/x
  3. Step 3: Cross multiply
    4,705.35x = 6,486.78 × 2,935.77
  4. Step 4: Simplify right side
    4,705.35x = 19,043,694.12
  5. Step 5: Solve for x
    x = 19,043,694.12/4,705.35
  6. Step 6: Final answer
    x = 4,047.24

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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.