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Finding the Fourth Proportional to 4,685.61, 6,465.90 and 3,361.53

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Solution

The fourth proportional to 4,685.61, 6,465.90 and 3,361.53 is: 4,638.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,685.61 : 6,465.90 = 3,361.53 : x
  2. Step 2: Convert to fraction form
    4,685.61/6,465.90 = 3,361.53/x
  3. Step 3: Cross multiply
    4,685.61x = 6,465.90 × 3,361.53
  4. Step 4: Simplify right side
    4,685.61x = 21,735,316.83
  5. Step 5: Solve for x
    x = 21,735,316.83/4,685.61
  6. Step 6: Final answer
    x = 4,638.74

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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.