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Finding the Fourth Proportional to 4,967.30, 6,855.47 and 2,978.95

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Solution

The fourth proportional to 4,967.30, 6,855.47 and 2,978.95 is: 4,111.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,967.30 : 6,855.47 = 2,978.95 : x
  2. Step 2: Convert to fraction form
    4,967.30/6,855.47 = 2,978.95/x
  3. Step 3: Cross multiply
    4,967.30x = 6,855.47 × 2,978.95
  4. Step 4: Simplify right side
    4,967.30x = 20,422,102.36
  5. Step 5: Solve for x
    x = 20,422,102.36/4,967.30
  6. Step 6: Final answer
    x = 4,111.31

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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.