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Finding the Fourth Proportional to 4,969.54, 7,456.35 and 2,370.82

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Solution

The fourth proportional to 4,969.54, 7,456.35 and 2,370.82 is: 3,557.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969.54 : 7,456.35 = 2,370.82 : x
  2. Step 2: Convert to fraction form
    4,969.54/7,456.35 = 2,370.82/x
  3. Step 3: Cross multiply
    4,969.54x = 7,456.35 × 2,370.82
  4. Step 4: Simplify right side
    4,969.54x = 17,677,663.71
  5. Step 5: Solve for x
    x = 17,677,663.71/4,969.54
  6. Step 6: Final answer
    x = 3,557.20

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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.