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Finding the Fourth Proportional to 4,852.16, 6,696.25 and 3,671.18

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Solution

The fourth proportional to 4,852.16, 6,696.25 and 3,671.18 is: 5,066.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,852.16 : 6,696.25 = 3,671.18 : x
  2. Step 2: Convert to fraction form
    4,852.16/6,696.25 = 3,671.18/x
  3. Step 3: Cross multiply
    4,852.16x = 6,696.25 × 3,671.18
  4. Step 4: Simplify right side
    4,852.16x = 24,583,096.42
  5. Step 5: Solve for x
    x = 24,583,096.42/4,852.16
  6. Step 6: Final answer
    x = 5,066.43

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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.