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Finding the Fourth Proportional to 4,695.56, 6,480.20 and 2,599.64

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Solution

The fourth proportional to 4,695.56, 6,480.20 and 2,599.64 is: 3,587.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,695.56 : 6,480.20 = 2,599.64 : x
  2. Step 2: Convert to fraction form
    4,695.56/6,480.20 = 2,599.64/x
  3. Step 3: Cross multiply
    4,695.56x = 6,480.20 × 2,599.64
  4. Step 4: Simplify right side
    4,695.56x = 16,846,187.13
  5. Step 5: Solve for x
    x = 16,846,187.13/4,695.56
  6. Step 6: Final answer
    x = 3,587.68

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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.