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Finding the Fourth Proportional to 6,089.02, 8,382.54 and 5,810.38

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Solution

The fourth proportional to 6,089.02, 8,382.54 and 5,810.38 is: 7,998.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,089.02 : 8,382.54 = 5,810.38 : x
  2. Step 2: Convert to fraction form
    6,089.02/8,382.54 = 5,810.38/x
  3. Step 3: Cross multiply
    6,089.02x = 8,382.54 × 5,810.38
  4. Step 4: Simplify right side
    6,089.02x = 48,705,742.77
  5. Step 5: Solve for x
    x = 48,705,742.77/6,089.02
  6. Step 6: Final answer
    x = 7,998.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.