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Finding the Fourth Proportional to 5,902.01, 8,153.71 and 4,407.34

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Solution

The fourth proportional to 5,902.01, 8,153.71 and 4,407.34 is: 6,088.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,902.01 : 8,153.71 = 4,407.34 : x
  2. Step 2: Convert to fraction form
    5,902.01/8,153.71 = 4,407.34/x
  3. Step 3: Cross multiply
    5,902.01x = 8,153.71 × 4,407.34
  4. Step 4: Simplify right side
    5,902.01x = 35,936,172.23
  5. Step 5: Solve for x
    x = 35,936,172.23/5,902.01
  6. Step 6: Final answer
    x = 6,088.81

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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.