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Finding the Fourth Proportional to 4,646.82, 6,410.76 and 2,967.80

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Solution

The fourth proportional to 4,646.82, 6,410.76 and 2,967.80 is: 4,094.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646.82 : 6,410.76 = 2,967.80 : x
  2. Step 2: Convert to fraction form
    4,646.82/6,410.76 = 2,967.80/x
  3. Step 3: Cross multiply
    4,646.82x = 6,410.76 × 2,967.80
  4. Step 4: Simplify right side
    4,646.82x = 19,025,827.04
  5. Step 5: Solve for x
    x = 19,025,827.04/4,646.82
  6. Step 6: Final answer
    x = 4,094.37

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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.