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Finding the Fourth Proportional to 5,289.98, 7,931.75 and 3,644.71

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Solution

The fourth proportional to 5,289.98, 7,931.75 and 3,644.71 is: 5,464.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,289.98 : 7,931.75 = 3,644.71 : x
  2. Step 2: Convert to fraction form
    5,289.98/7,931.75 = 3,644.71/x
  3. Step 3: Cross multiply
    5,289.98x = 7,931.75 × 3,644.71
  4. Step 4: Simplify right side
    5,289.98x = 28,908,890.49
  5. Step 5: Solve for x
    x = 28,908,890.49/5,289.98
  6. Step 6: Final answer
    x = 5,464.84

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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.