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Finding the Fourth Proportional to 4,842.94, 6,681.54 and 3,165.32

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Solution

The fourth proportional to 4,842.94, 6,681.54 and 3,165.32 is: 4,367.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,842.94 : 6,681.54 = 3,165.32 : x
  2. Step 2: Convert to fraction form
    4,842.94/6,681.54 = 3,165.32/x
  3. Step 3: Cross multiply
    4,842.94x = 6,681.54 × 3,165.32
  4. Step 4: Simplify right side
    4,842.94x = 21,149,200.83
  5. Step 5: Solve for x
    x = 21,149,200.83/4,842.94
  6. Step 6: Final answer
    x = 4,367.01

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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.