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Finding the Fourth Proportional to 3,831.68, 5,731.32 and 3,585.44

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Solution

The fourth proportional to 3,831.68, 5,731.32 and 3,585.44 is: 5,363.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,831.68 : 5,731.32 = 3,585.44 : x
  2. Step 2: Convert to fraction form
    3,831.68/5,731.32 = 3,585.44/x
  3. Step 3: Cross multiply
    3,831.68x = 5,731.32 × 3,585.44
  4. Step 4: Simplify right side
    3,831.68x = 20,549,303.98
  5. Step 5: Solve for x
    x = 20,549,303.98/3,831.68
  6. Step 6: Final answer
    x = 5,363.00

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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.