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Finding the Fourth Proportional to 4,712.70, 6,505.71 and 2,945.46

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Solution

The fourth proportional to 4,712.70, 6,505.71 and 2,945.46 is: 4,066.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,712.70 : 6,505.71 = 2,945.46 : x
  2. Step 2: Convert to fraction form
    4,712.70/6,505.71 = 2,945.46/x
  3. Step 3: Cross multiply
    4,712.70x = 6,505.71 × 2,945.46
  4. Step 4: Simplify right side
    4,712.70x = 19,162,308.58
  5. Step 5: Solve for x
    x = 19,162,308.58/4,712.70
  6. Step 6: Final answer
    x = 4,066.10

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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.