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Finding the Fourth Proportional to 4,355.97, 6,534.90 and 1,434.57

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Solution

The fourth proportional to 4,355.97, 6,534.90 and 1,434.57 is: 2,152.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,355.97 : 6,534.90 = 1,434.57 : x
  2. Step 2: Convert to fraction form
    4,355.97/6,534.90 = 1,434.57/x
  3. Step 3: Cross multiply
    4,355.97x = 6,534.90 × 1,434.57
  4. Step 4: Simplify right side
    4,355.97x = 9,374,771.49
  5. Step 5: Solve for x
    x = 9,374,771.49/4,355.97
  6. Step 6: Final answer
    x = 2,152.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.