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Finding the Fourth Proportional to 5,066.64, 6,987.60 and 3,297.60

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Solution

The fourth proportional to 5,066.64, 6,987.60 and 3,297.60 is: 4,547.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,066.64 : 6,987.60 = 3,297.60 : x
  2. Step 2: Convert to fraction form
    5,066.64/6,987.60 = 3,297.60/x
  3. Step 3: Cross multiply
    5,066.64x = 6,987.60 × 3,297.60
  4. Step 4: Simplify right side
    5,066.64x = 23,042,309.76
  5. Step 5: Solve for x
    x = 23,042,309.76/5,066.64
  6. Step 6: Final answer
    x = 4,547.85

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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.