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Finding the Fourth Proportional to 3,897.01, 5,370.60 and 3,825.93

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Solution

The fourth proportional to 3,897.01, 5,370.60 and 3,825.93 is: 5,272.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.01 : 5,370.60 = 3,825.93 : x
  2. Step 2: Convert to fraction form
    3,897.01/5,370.60 = 3,825.93/x
  3. Step 3: Cross multiply
    3,897.01x = 5,370.60 × 3,825.93
  4. Step 4: Simplify right side
    3,897.01x = 20,547,574.15
  5. Step 5: Solve for x
    x = 20,547,574.15/3,897.01
  6. Step 6: Final answer
    x = 5,272.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.