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Finding the Fourth Proportional to 5,048.97, 6,967.62 and 2,810.84

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Solution

The fourth proportional to 5,048.97, 6,967.62 and 2,810.84 is: 3,878.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,048.97 : 6,967.62 = 2,810.84 : x
  2. Step 2: Convert to fraction form
    5,048.97/6,967.62 = 2,810.84/x
  3. Step 3: Cross multiply
    5,048.97x = 6,967.62 × 2,810.84
  4. Step 4: Simplify right side
    5,048.97x = 19,584,830.16
  5. Step 5: Solve for x
    x = 19,584,830.16/5,048.97
  6. Step 6: Final answer
    x = 3,878.98

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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.