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Finding the Fourth Proportional to 5,695.78, 8,541.63 and 2,409.13

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Solution

The fourth proportional to 5,695.78, 8,541.63 and 2,409.13 is: 3,612.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,695.78 : 8,541.63 = 2,409.13 : x
  2. Step 2: Convert to fraction form
    5,695.78/8,541.63 = 2,409.13/x
  3. Step 3: Cross multiply
    5,695.78x = 8,541.63 × 2,409.13
  4. Step 4: Simplify right side
    5,695.78x = 20,577,897.08
  5. Step 5: Solve for x
    x = 20,577,897.08/5,695.78
  6. Step 6: Final answer
    x = 3,612.83

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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.