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Finding the Fourth Proportional to 3,156.34, 4,734.54 and 847.84

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Solution

The fourth proportional to 3,156.34, 4,734.54 and 847.84 is: 1,271.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,156.34 : 4,734.54 = 847.84 : x
  2. Step 2: Convert to fraction form
    3,156.34/4,734.54 = 847.84/x
  3. Step 3: Cross multiply
    3,156.34x = 4,734.54 × 847.84
  4. Step 4: Simplify right side
    3,156.34x = 4,014,132.39
  5. Step 5: Solve for x
    x = 4,014,132.39/3,156.34
  6. Step 6: Final answer
    x = 1,271.77

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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.