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Finding the Fourth Proportional to 6,335.01, 8,742.65 and 3,646.64

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Solution

The fourth proportional to 6,335.01, 8,742.65 and 3,646.64 is: 5,032.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,335.01 : 8,742.65 = 3,646.64 : x
  2. Step 2: Convert to fraction form
    6,335.01/8,742.65 = 3,646.64/x
  3. Step 3: Cross multiply
    6,335.01x = 8,742.65 × 3,646.64
  4. Step 4: Simplify right side
    6,335.01x = 31,881,297.20
  5. Step 5: Solve for x
    x = 31,881,297.20/6,335.01
  6. Step 6: Final answer
    x = 5,032.56

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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.