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Finding the Fourth Proportional to 5,897.40, 8,835.84 and 4,922.16

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Solution

The fourth proportional to 5,897.40, 8,835.84 and 4,922.16 is: 7,374.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,897.40 : 8,835.84 = 4,922.16 : x
  2. Step 2: Convert to fraction form
    5,897.40/8,835.84 = 4,922.16/x
  3. Step 3: Cross multiply
    5,897.40x = 8,835.84 × 4,922.16
  4. Step 4: Simplify right side
    5,897.40x = 43,491,418.21
  5. Step 5: Solve for x
    x = 43,491,418.21/5,897.40
  6. Step 6: Final answer
    x = 7,374.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.