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Finding the Fourth Proportional to 5,897.64, 8,137.62 and 3,538.92

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Solution

The fourth proportional to 5,897.64, 8,137.62 and 3,538.92 is: 4,883.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,897.64 : 8,137.62 = 3,538.92 : x
  2. Step 2: Convert to fraction form
    5,897.64/8,137.62 = 3,538.92/x
  3. Step 3: Cross multiply
    5,897.64x = 8,137.62 × 3,538.92
  4. Step 4: Simplify right side
    5,897.64x = 28,798,386.17
  5. Step 5: Solve for x
    x = 28,798,386.17/5,897.64
  6. Step 6: Final answer
    x = 4,883.04

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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.