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Finding the Fourth Proportional to 4,952.76, 7,430.76 and 2,486.31

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Solution

The fourth proportional to 4,952.76, 7,430.76 and 2,486.31 is: 3,730.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,952.76 : 7,430.76 = 2,486.31 : x
  2. Step 2: Convert to fraction form
    4,952.76/7,430.76 = 2,486.31/x
  3. Step 3: Cross multiply
    4,952.76x = 7,430.76 × 2,486.31
  4. Step 4: Simplify right side
    4,952.76x = 18,475,172.90
  5. Step 5: Solve for x
    x = 18,475,172.90/4,952.76
  6. Step 6: Final answer
    x = 3,730.28

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1.5x scale

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.