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Finding the Fourth Proportional to 4,694.72, 6,480 and 2,807.60

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Solution

The fourth proportional to 4,694.72, 6,480 and 2,807.60 is: 3,875.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,694.72 : 6,480 = 2,807.60 : x
  2. Step 2: Convert to fraction form
    4,694.72/6,480 = 2,807.60/x
  3. Step 3: Cross multiply
    4,694.72x = 6,480 × 2,807.60
  4. Step 4: Simplify right side
    4,694.72x = 18,193,215.60
  5. Step 5: Solve for x
    x = 18,193,215.60/4,694.72
  6. Step 6: Final answer
    x = 3,875.25

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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.