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Finding the Fourth Proportional to 4,973.94, 6,866.01 and 3,085.92

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Solution

The fourth proportional to 4,973.94, 6,866.01 and 3,085.92 is: 4,259.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,973.94 : 6,866.01 = 3,085.92 : x
  2. Step 2: Convert to fraction form
    4,973.94/6,866.01 = 3,085.92/x
  3. Step 3: Cross multiply
    4,973.94x = 6,866.01 × 3,085.92
  4. Step 4: Simplify right side
    4,973.94x = 21,187,957.58
  5. Step 5: Solve for x
    x = 21,187,957.58/4,973.94
  6. Step 6: Final answer
    x = 4,259.79

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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.