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Finding the Fourth Proportional to 4,976.90, 7,465.07 and 1,513.88

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Solution

The fourth proportional to 4,976.90, 7,465.07 and 1,513.88 is: 2,270.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,976.90 : 7,465.07 = 1,513.88 : x
  2. Step 2: Convert to fraction form
    4,976.90/7,465.07 = 1,513.88/x
  3. Step 3: Cross multiply
    4,976.90x = 7,465.07 × 1,513.88
  4. Step 4: Simplify right side
    4,976.90x = 11,301,220.17
  5. Step 5: Solve for x
    x = 11,301,220.17/4,976.90
  6. Step 6: Final answer
    x = 2,270.73

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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.