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Finding the Fourth Proportional to 5,064.42, 6,990.59 and 2,968.50

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Solution

The fourth proportional to 5,064.42, 6,990.59 and 2,968.50 is: 4,097.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,064.42 : 6,990.59 = 2,968.50 : x
  2. Step 2: Convert to fraction form
    5,064.42/6,990.59 = 2,968.50/x
  3. Step 3: Cross multiply
    5,064.42x = 6,990.59 × 2,968.50
  4. Step 4: Simplify right side
    5,064.42x = 20,751,566.42
  5. Step 5: Solve for x
    x = 20,751,566.42/5,064.42
  6. Step 6: Final answer
    x = 4,097.52

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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.