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Finding the Fourth Proportional to 4,852.31, 6,741.09 and 4,806.68

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Solution

The fourth proportional to 4,852.31, 6,741.09 and 4,806.68 is: 6,677.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,852.31 : 6,741.09 = 4,806.68 : x
  2. Step 2: Convert to fraction form
    4,852.31/6,741.09 = 4,806.68/x
  3. Step 3: Cross multiply
    4,852.31x = 6,741.09 × 4,806.68
  4. Step 4: Simplify right side
    4,852.31x = 32,402,228.78
  5. Step 5: Solve for x
    x = 32,402,228.78/4,852.31
  6. Step 6: Final answer
    x = 6,677.70

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.