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Finding the Fourth Proportional to 5,813.90, 8,720.74 and 1,431.40

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Solution

The fourth proportional to 5,813.90, 8,720.74 and 1,431.40 is: 2,147.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,813.90 : 8,720.74 = 1,431.40 : x
  2. Step 2: Convert to fraction form
    5,813.90/8,720.74 = 1,431.40/x
  3. Step 3: Cross multiply
    5,813.90x = 8,720.74 × 1,431.40
  4. Step 4: Simplify right side
    5,813.90x = 12,482,867.24
  5. Step 5: Solve for x
    x = 12,482,867.24/5,813.90
  6. Step 6: Final answer
    x = 2,147.07

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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.