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Finding the Fourth Proportional to 5,071.68, 7,603.68 and 3,684.96

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Solution

The fourth proportional to 5,071.68, 7,603.68 and 3,684.96 is: 5,524.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,071.68 : 7,603.68 = 3,684.96 : x
  2. Step 2: Convert to fraction form
    5,071.68/7,603.68 = 3,684.96/x
  3. Step 3: Cross multiply
    5,071.68x = 7,603.68 × 3,684.96
  4. Step 4: Simplify right side
    5,071.68x = 28,019,256.65
  5. Step 5: Solve for x
    x = 28,019,256.65/5,071.68
  6. Step 6: Final answer
    x = 5,524.65

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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.