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Finding the Fourth Proportional to 5,305.74, 7,321.86 and 3,316.32

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Solution

The fourth proportional to 5,305.74, 7,321.86 and 3,316.32 is: 4,576.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,305.74 : 7,321.86 = 3,316.32 : x
  2. Step 2: Convert to fraction form
    5,305.74/7,321.86 = 3,316.32/x
  3. Step 3: Cross multiply
    5,305.74x = 7,321.86 × 3,316.32
  4. Step 4: Simplify right side
    5,305.74x = 24,281,630.76
  5. Step 5: Solve for x
    x = 24,281,630.76/5,305.74
  6. Step 6: Final answer
    x = 4,576.48

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Similar ratio
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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.