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Finding the Fourth Proportional to 5,609.76, 7,741.14 and 3,370.32

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Solution

The fourth proportional to 5,609.76, 7,741.14 and 3,370.32 is: 4,650.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,609.76 : 7,741.14 = 3,370.32 : x
  2. Step 2: Convert to fraction form
    5,609.76/7,741.14 = 3,370.32/x
  3. Step 3: Cross multiply
    5,609.76x = 7,741.14 × 3,370.32
  4. Step 4: Simplify right side
    5,609.76x = 26,090,118.96
  5. Step 5: Solve for x
    x = 26,090,118.96/5,609.76
  6. Step 6: Final answer
    x = 4,650.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.