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Finding the Fourth Proportional to 4,970.96, 7,456.50 and 3,019.28

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Solution

The fourth proportional to 4,970.96, 7,456.50 and 3,019.28 is: 4,528.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,970.96 : 7,456.50 = 3,019.28 : x
  2. Step 2: Convert to fraction form
    4,970.96/7,456.50 = 3,019.28/x
  3. Step 3: Cross multiply
    4,970.96x = 7,456.50 × 3,019.28
  4. Step 4: Simplify right side
    4,970.96x = 22,513,261.32
  5. Step 5: Solve for x
    x = 22,513,261.32/4,970.96
  6. Step 6: Final answer
    x = 4,528.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.