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Finding the Fourth Proportional to 4,657.88, 6,428.30 and 2,669.08

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Solution

The fourth proportional to 4,657.88, 6,428.30 and 2,669.08 is: 3,683.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.88 : 6,428.30 = 2,669.08 : x
  2. Step 2: Convert to fraction form
    4,657.88/6,428.30 = 2,669.08/x
  3. Step 3: Cross multiply
    4,657.88x = 6,428.30 × 2,669.08
  4. Step 4: Simplify right side
    4,657.88x = 17,157,646.96
  5. Step 5: Solve for x
    x = 17,157,646.96/4,657.88
  6. Step 6: Final answer
    x = 3,683.57

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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.