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Finding the Fourth Proportional to 4,672.02, 6,361.02 and 4,657.44

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Solution

The fourth proportional to 4,672.02, 6,361.02 and 4,657.44 is: 6,341.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,672.02 : 6,361.02 = 4,657.44 : x
  2. Step 2: Convert to fraction form
    4,672.02/6,361.02 = 4,657.44/x
  3. Step 3: Cross multiply
    4,672.02x = 6,361.02 × 4,657.44
  4. Step 4: Simplify right side
    4,672.02x = 29,626,068.99
  5. Step 5: Solve for x
    x = 29,626,068.99/4,672.02
  6. Step 6: Final answer
    x = 6,341.17

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.