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Finding the Fourth Proportional to 4,646.29, 6,412.21 and 2,656.79

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Solution

The fourth proportional to 4,646.29, 6,412.21 and 2,656.79 is: 3,666.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646.29 : 6,412.21 = 2,656.79 : x
  2. Step 2: Convert to fraction form
    4,646.29/6,412.21 = 2,656.79/x
  3. Step 3: Cross multiply
    4,646.29x = 6,412.21 × 2,656.79
  4. Step 4: Simplify right side
    4,646.29x = 17,035,895.41
  5. Step 5: Solve for x
    x = 17,035,895.41/4,646.29
  6. Step 6: Final answer
    x = 3,666.56

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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.