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Finding the Fourth Proportional to 5,689.80, 8,520.30 and 4,537.80

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Solution

The fourth proportional to 5,689.80, 8,520.30 and 4,537.80 is: 6,795.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.80 : 8,520.30 = 4,537.80 : x
  2. Step 2: Convert to fraction form
    5,689.80/8,520.30 = 4,537.80/x
  3. Step 3: Cross multiply
    5,689.80x = 8,520.30 × 4,537.80
  4. Step 4: Simplify right side
    5,689.80x = 38,663,417.34
  5. Step 5: Solve for x
    x = 38,663,417.34/5,689.80
  6. Step 6: Final answer
    x = 6,795.22

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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.