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Finding the Fourth Proportional to 5,630.96, 8,445.44 and 1,526

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Solution

The fourth proportional to 5,630.96, 8,445.44 and 1,526 is: 2,288.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,630.96 : 8,445.44 = 1,526 : x
  2. Step 2: Convert to fraction form
    5,630.96/8,445.44 = 1,526/x
  3. Step 3: Cross multiply
    5,630.96x = 8,445.44 × 1,526
  4. Step 4: Simplify right side
    5,630.96x = 12,887,741.44
  5. Step 5: Solve for x
    x = 12,887,741.44/5,630.96
  6. Step 6: Final answer
    x = 2,288.73

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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.