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Finding the Fourth Proportional to 5,567.46, 7,684.65 and 5,483.22

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Solution

The fourth proportional to 5,567.46, 7,684.65 and 5,483.22 is: 7,568.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,567.46 : 7,684.65 = 5,483.22 : x
  2. Step 2: Convert to fraction form
    5,567.46/7,684.65 = 5,483.22/x
  3. Step 3: Cross multiply
    5,567.46x = 7,684.65 × 5,483.22
  4. Step 4: Simplify right side
    5,567.46x = 42,136,626.57
  5. Step 5: Solve for x
    x = 42,136,626.57/5,567.46
  6. Step 6: Final answer
    x = 7,568.38

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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.