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Finding the Fourth Proportional to 3,636.88, 5,454.46 and 1,688

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Solution

The fourth proportional to 3,636.88, 5,454.46 and 1,688 is: 2,531.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,636.88 : 5,454.46 = 1,688 : x
  2. Step 2: Convert to fraction form
    3,636.88/5,454.46 = 1,688/x
  3. Step 3: Cross multiply
    3,636.88x = 5,454.46 × 1,688
  4. Step 4: Simplify right side
    3,636.88x = 9,207,128.48
  5. Step 5: Solve for x
    x = 9,207,128.48/3,636.88
  6. Step 6: Final answer
    x = 2,531.60

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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.