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Finding the Fourth Proportional to 5,097.46, 7,647.92 and 1,588.26

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Solution

The fourth proportional to 5,097.46, 7,647.92 and 1,588.26 is: 2,382.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097.46 : 7,647.92 = 1,588.26 : x
  2. Step 2: Convert to fraction form
    5,097.46/7,647.92 = 1,588.26/x
  3. Step 3: Cross multiply
    5,097.46x = 7,647.92 × 1,588.26
  4. Step 4: Simplify right side
    5,097.46x = 12,146,869.09
  5. Step 5: Solve for x
    x = 12,146,869.09/5,097.46
  6. Step 6: Final answer
    x = 2,382.93

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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.