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Finding the Fourth Proportional to 5,221.42, 7,823.02 and 4,349.53

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Solution

The fourth proportional to 5,221.42, 7,823.02 and 4,349.53 is: 6,516.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,221.42 : 7,823.02 = 4,349.53 : x
  2. Step 2: Convert to fraction form
    5,221.42/7,823.02 = 4,349.53/x
  3. Step 3: Cross multiply
    5,221.42x = 7,823.02 × 4,349.53
  4. Step 4: Simplify right side
    5,221.42x = 34,026,460.18
  5. Step 5: Solve for x
    x = 34,026,460.18/5,221.42
  6. Step 6: Final answer
    x = 6,516.71

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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.