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Finding the Fourth Proportional to 5,774.76, 8,655.80 and 2,263.70

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Solution

The fourth proportional to 5,774.76, 8,655.80 and 2,263.70 is: 3,393.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,774.76 : 8,655.80 = 2,263.70 : x
  2. Step 2: Convert to fraction form
    5,774.76/8,655.80 = 2,263.70/x
  3. Step 3: Cross multiply
    5,774.76x = 8,655.80 × 2,263.70
  4. Step 4: Simplify right side
    5,774.76x = 19,594,144.78
  5. Step 5: Solve for x
    x = 19,594,144.78/5,774.76
  6. Step 6: Final answer
    x = 3,393.07

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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.