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Finding the Fourth Proportional to 5,255.04, 7,884.52 and 1,792.24

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Solution

The fourth proportional to 5,255.04, 7,884.52 and 1,792.24 is: 2,689.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,255.04 : 7,884.52 = 1,792.24 : x
  2. Step 2: Convert to fraction form
    5,255.04/7,884.52 = 1,792.24/x
  3. Step 3: Cross multiply
    5,255.04x = 7,884.52 × 1,792.24
  4. Step 4: Simplify right side
    5,255.04x = 14,130,952.12
  5. Step 5: Solve for x
    x = 14,130,952.12/5,255.04
  6. Step 6: Final answer
    x = 2,689.03

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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.