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Finding the Fourth Proportional to 4,922.30, 7,371.30 and 4,703.60

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Solution

The fourth proportional to 4,922.30, 7,371.30 and 4,703.60 is: 7,043.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,922.30 : 7,371.30 = 4,703.60 : x
  2. Step 2: Convert to fraction form
    4,922.30/7,371.30 = 4,703.60/x
  3. Step 3: Cross multiply
    4,922.30x = 7,371.30 × 4,703.60
  4. Step 4: Simplify right side
    4,922.30x = 34,671,646.68
  5. Step 5: Solve for x
    x = 34,671,646.68/4,922.30
  6. Step 6: Final answer
    x = 7,043.79

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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.