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Finding the Fourth Proportional to 5,734.24, 8,605.51 and 2,036.50

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Solution

The fourth proportional to 5,734.24, 8,605.51 and 2,036.50 is: 3,056.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734.24 : 8,605.51 = 2,036.50 : x
  2. Step 2: Convert to fraction form
    5,734.24/8,605.51 = 2,036.50/x
  3. Step 3: Cross multiply
    5,734.24x = 8,605.51 × 2,036.50
  4. Step 4: Simplify right side
    5,734.24x = 17,525,094.51
  5. Step 5: Solve for x
    x = 17,525,094.51/5,734.24
  6. Step 6: Final answer
    x = 3,056.22

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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.