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Finding the Fourth Proportional to 5,783.76, 8,667.52 and 3,314.88

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Solution

The fourth proportional to 5,783.76, 8,667.52 and 3,314.88 is: 4,967.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,783.76 : 8,667.52 = 3,314.88 : x
  2. Step 2: Convert to fraction form
    5,783.76/8,667.52 = 3,314.88/x
  3. Step 3: Cross multiply
    5,783.76x = 8,667.52 × 3,314.88
  4. Step 4: Simplify right side
    5,783.76x = 28,731,788.70
  5. Step 5: Solve for x
    x = 28,731,788.70/5,783.76
  6. Step 6: Final answer
    x = 4,967.67

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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.