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Finding the Fourth Proportional to 5,684.58, 7,841.94 and 4,897.26

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Solution

The fourth proportional to 5,684.58, 7,841.94 and 4,897.26 is: 6,755.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684.58 : 7,841.94 = 4,897.26 : x
  2. Step 2: Convert to fraction form
    5,684.58/7,841.94 = 4,897.26/x
  3. Step 3: Cross multiply
    5,684.58x = 7,841.94 × 4,897.26
  4. Step 4: Simplify right side
    5,684.58x = 38,404,019.08
  5. Step 5: Solve for x
    x = 38,404,019.08/5,684.58
  6. Step 6: Final answer
    x = 6,755.82

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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.