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Finding the Fourth Proportional to 5,047.88, 7,573.04 and 1,585.13

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Solution

The fourth proportional to 5,047.88, 7,573.04 and 1,585.13 is: 2,378.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,047.88 : 7,573.04 = 1,585.13 : x
  2. Step 2: Convert to fraction form
    5,047.88/7,573.04 = 1,585.13/x
  3. Step 3: Cross multiply
    5,047.88x = 7,573.04 × 1,585.13
  4. Step 4: Simplify right side
    5,047.88x = 12,004,213.05
  5. Step 5: Solve for x
    x = 12,004,213.05/5,047.88
  6. Step 6: Final answer
    x = 2,378.07

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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.