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Finding the Fourth Proportional to 5,873.69, 8,106.07 and 3,880.76

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Solution

The fourth proportional to 5,873.69, 8,106.07 and 3,880.76 is: 5,355.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,873.69 : 8,106.07 = 3,880.76 : x
  2. Step 2: Convert to fraction form
    5,873.69/8,106.07 = 3,880.76/x
  3. Step 3: Cross multiply
    5,873.69x = 8,106.07 × 3,880.76
  4. Step 4: Simplify right side
    5,873.69x = 31,457,712.21
  5. Step 5: Solve for x
    x = 31,457,712.21/5,873.69
  6. Step 6: Final answer
    x = 5,355.70

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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.