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Finding the Fourth Proportional to 4,952.72, 7,430.42 and 1,790.48

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Solution

The fourth proportional to 4,952.72, 7,430.42 and 1,790.48 is: 2,686.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,952.72 : 7,430.42 = 1,790.48 : x
  2. Step 2: Convert to fraction form
    4,952.72/7,430.42 = 1,790.48/x
  3. Step 3: Cross multiply
    4,952.72x = 7,430.42 × 1,790.48
  4. Step 4: Simplify right side
    4,952.72x = 13,304,041.45
  5. Step 5: Solve for x
    x = 13,304,041.45/4,952.72
  6. Step 6: Final answer
    x = 2,686.21

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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.