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Finding the Fourth Proportional to 5,602.64, 8,409.15 and 2,831.27

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Solution

The fourth proportional to 5,602.64, 8,409.15 and 2,831.27 is: 4,249.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,602.64 : 8,409.15 = 2,831.27 : x
  2. Step 2: Convert to fraction form
    5,602.64/8,409.15 = 2,831.27/x
  3. Step 3: Cross multiply
    5,602.64x = 8,409.15 × 2,831.27
  4. Step 4: Simplify right side
    5,602.64x = 23,808,574.12
  5. Step 5: Solve for x
    x = 23,808,574.12/5,602.64
  6. Step 6: Final answer
    x = 4,249.53

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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.