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Finding the Fourth Proportional to 5,804.51, 8,685.92 and 5,027.15

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Solution

The fourth proportional to 5,804.51, 8,685.92 and 5,027.15 is: 7,522.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,804.51 : 8,685.92 = 5,027.15 : x
  2. Step 2: Convert to fraction form
    5,804.51/8,685.92 = 5,027.15/x
  3. Step 3: Cross multiply
    5,804.51x = 8,685.92 × 5,027.15
  4. Step 4: Simplify right side
    5,804.51x = 43,665,457.01
  5. Step 5: Solve for x
    x = 43,665,457.01/5,804.51
  6. Step 6: Final answer
    x = 7,522.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.