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Finding the Fourth Proportional to 5,649.63, 8,474.58 and 5,510.31

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Solution

The fourth proportional to 5,649.63, 8,474.58 and 5,510.31 is: 8,265.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,649.63 : 8,474.58 = 5,510.31 : x
  2. Step 2: Convert to fraction form
    5,649.63/8,474.58 = 5,510.31/x
  3. Step 3: Cross multiply
    5,649.63x = 8,474.58 × 5,510.31
  4. Step 4: Simplify right side
    5,649.63x = 46,697,562.92
  5. Step 5: Solve for x
    x = 46,697,562.92/5,649.63
  6. Step 6: Final answer
    x = 8,265.60

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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.