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Finding the Fourth Proportional to 4,712.70, 6,503.37 and 3,034.20

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Solution

The fourth proportional to 4,712.70, 6,503.37 and 3,034.20 is: 4,187.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,712.70 : 6,503.37 = 3,034.20 : x
  2. Step 2: Convert to fraction form
    4,712.70/6,503.37 = 3,034.20/x
  3. Step 3: Cross multiply
    4,712.70x = 6,503.37 × 3,034.20
  4. Step 4: Simplify right side
    4,712.70x = 19,732,525.25
  5. Step 5: Solve for x
    x = 19,732,525.25/4,712.70
  6. Step 6: Final answer
    x = 4,187.10

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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.