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Finding the Fourth Proportional to 5,537.30, 8,305.95 and 4,560.98

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Solution

The fourth proportional to 5,537.30, 8,305.95 and 4,560.98 is: 6,841.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,537.30 : 8,305.95 = 4,560.98 : x
  2. Step 2: Convert to fraction form
    5,537.30/8,305.95 = 4,560.98/x
  3. Step 3: Cross multiply
    5,537.30x = 8,305.95 × 4,560.98
  4. Step 4: Simplify right side
    5,537.30x = 37,883,271.83
  5. Step 5: Solve for x
    x = 37,883,271.83/5,537.30
  6. Step 6: Final answer
    x = 6,841.47

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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.