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Finding the Fourth Proportional to 3,955.34, 5,902.29 and 3,430.46

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Solution

The fourth proportional to 3,955.34, 5,902.29 and 3,430.46 is: 5,119.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,955.34 : 5,902.29 = 3,430.46 : x
  2. Step 2: Convert to fraction form
    3,955.34/5,902.29 = 3,430.46/x
  3. Step 3: Cross multiply
    3,955.34x = 5,902.29 × 3,430.46
  4. Step 4: Simplify right side
    3,955.34x = 20,247,569.75
  5. Step 5: Solve for x
    x = 20,247,569.75/3,955.34
  6. Step 6: Final answer
    x = 5,119.05

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.