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Finding the Fourth Proportional to 5,847.39, 8,771.39 and 1,464.89

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Solution

The fourth proportional to 5,847.39, 8,771.39 and 1,464.89 is: 2,197.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,847.39 : 8,771.39 = 1,464.89 : x
  2. Step 2: Convert to fraction form
    5,847.39/8,771.39 = 1,464.89/x
  3. Step 3: Cross multiply
    5,847.39x = 8,771.39 × 1,464.89
  4. Step 4: Simplify right side
    5,847.39x = 12,849,075.81
  5. Step 5: Solve for x
    x = 12,849,075.81/5,847.39
  6. Step 6: Final answer
    x = 2,197.40

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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.