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Finding the Fourth Proportional to 5,674.74, 7,831.59 and 3,157.05

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Solution

The fourth proportional to 5,674.74, 7,831.59 and 3,157.05 is: 4,356.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674.74 : 7,831.59 = 3,157.05 : x
  2. Step 2: Convert to fraction form
    5,674.74/7,831.59 = 3,157.05/x
  3. Step 3: Cross multiply
    5,674.74x = 7,831.59 × 3,157.05
  4. Step 4: Simplify right side
    5,674.74x = 24,724,721.21
  5. Step 5: Solve for x
    x = 24,724,721.21/5,674.74
  6. Step 6: Final answer
    x = 4,356.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.