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Finding the Fourth Proportional to 4,637.12, 6,958.71 and 4,261.68

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Solution

The fourth proportional to 4,637.12, 6,958.71 and 4,261.68 is: 6,395.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,637.12 : 6,958.71 = 4,261.68 : x
  2. Step 2: Convert to fraction form
    4,637.12/6,958.71 = 4,261.68/x
  3. Step 3: Cross multiply
    4,637.12x = 6,958.71 × 4,261.68
  4. Step 4: Simplify right side
    4,637.12x = 29,655,795.23
  5. Step 5: Solve for x
    x = 29,655,795.23/4,637.12
  6. Step 6: Final answer
    x = 6,395.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.