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Finding the Fourth Proportional to 5,689.34, 8,520.72 and 5,492.27

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Solution

The fourth proportional to 5,689.34, 8,520.72 and 5,492.27 is: 8,225.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.34 : 8,520.72 = 5,492.27 : x
  2. Step 2: Convert to fraction form
    5,689.34/8,520.72 = 5,492.27/x
  3. Step 3: Cross multiply
    5,689.34x = 8,520.72 × 5,492.27
  4. Step 4: Simplify right side
    5,689.34x = 46,798,052.23
  5. Step 5: Solve for x
    x = 46,798,052.23/5,689.34
  6. Step 6: Final answer
    x = 8,225.58

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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.