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Finding the Fourth Proportional to 4,969.07, 6,853.86 and 3,477.35

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Solution

The fourth proportional to 4,969.07, 6,853.86 and 3,477.35 is: 4,796.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969.07 : 6,853.86 = 3,477.35 : x
  2. Step 2: Convert to fraction form
    4,969.07/6,853.86 = 3,477.35/x
  3. Step 3: Cross multiply
    4,969.07x = 6,853.86 × 3,477.35
  4. Step 4: Simplify right side
    4,969.07x = 23,833,235.80
  5. Step 5: Solve for x
    x = 23,833,235.80/4,969.07
  6. Step 6: Final answer
    x = 4,796.32

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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.