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Finding the Fourth Proportional to 5,931.44, 8,897.12 and 4,634

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Solution

The fourth proportional to 5,931.44, 8,897.12 and 4,634 is: 6,950.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,931.44 : 8,897.12 = 4,634 : x
  2. Step 2: Convert to fraction form
    5,931.44/8,897.12 = 4,634/x
  3. Step 3: Cross multiply
    5,931.44x = 8,897.12 × 4,634
  4. Step 4: Simplify right side
    5,931.44x = 41,229,254.08
  5. Step 5: Solve for x
    x = 41,229,254.08/5,931.44
  6. Step 6: Final answer
    x = 6,950.97

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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.