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Finding the Fourth Proportional to 5,709.30, 8,563.95 and 3,117.30

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Solution

The fourth proportional to 5,709.30, 8,563.95 and 3,117.30 is: 4,675.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.30 : 8,563.95 = 3,117.30 : x
  2. Step 2: Convert to fraction form
    5,709.30/8,563.95 = 3,117.30/x
  3. Step 3: Cross multiply
    5,709.30x = 8,563.95 × 3,117.30
  4. Step 4: Simplify right side
    5,709.30x = 26,696,401.34
  5. Step 5: Solve for x
    x = 26,696,401.34/5,709.30
  6. Step 6: Final answer
    x = 4,675.95

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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.