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Finding the Fourth Proportional to 5,873.73, 8,106.54 and 3,783.93

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Solution

The fourth proportional to 5,873.73, 8,106.54 and 3,783.93 is: 5,222.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,873.73 : 8,106.54 = 3,783.93 : x
  2. Step 2: Convert to fraction form
    5,873.73/8,106.54 = 3,783.93/x
  3. Step 3: Cross multiply
    5,873.73x = 8,106.54 × 3,783.93
  4. Step 4: Simplify right side
    5,873.73x = 30,674,579.90
  5. Step 5: Solve for x
    x = 30,674,579.90/5,873.73
  6. Step 6: Final answer
    x = 5,222.33

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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.