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Finding the Fourth Proportional to 5,749.44, 8,624.16 and 2,051.52

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Solution

The fourth proportional to 5,749.44, 8,624.16 and 2,051.52 is: 3,077.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,749.44 : 8,624.16 = 2,051.52 : x
  2. Step 2: Convert to fraction form
    5,749.44/8,624.16 = 2,051.52/x
  3. Step 3: Cross multiply
    5,749.44x = 8,624.16 × 2,051.52
  4. Step 4: Simplify right side
    5,749.44x = 17,692,636.72
  5. Step 5: Solve for x
    x = 17,692,636.72/5,749.44
  6. Step 6: Final answer
    x = 3,077.28

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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.