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Finding the Fourth Proportional to 4,636.32, 6,397.02 and 2,646.96

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Solution

The fourth proportional to 4,636.32, 6,397.02 and 2,646.96 is: 3,652.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,636.32 : 6,397.02 = 2,646.96 : x
  2. Step 2: Convert to fraction form
    4,636.32/6,397.02 = 2,646.96/x
  3. Step 3: Cross multiply
    4,636.32x = 6,397.02 × 2,646.96
  4. Step 4: Simplify right side
    4,636.32x = 16,932,656.06
  5. Step 5: Solve for x
    x = 16,932,656.06/4,636.32
  6. Step 6: Final answer
    x = 3,652.18

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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.