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Finding the Fourth Proportional to 5,095.45, 7,608.31 and 4,564.94

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Solution

The fourth proportional to 5,095.45, 7,608.31 and 4,564.94 is: 6,816.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,095.45 : 7,608.31 = 4,564.94 : x
  2. Step 2: Convert to fraction form
    5,095.45/7,608.31 = 4,564.94/x
  3. Step 3: Cross multiply
    5,095.45x = 7,608.31 × 4,564.94
  4. Step 4: Simplify right side
    5,095.45x = 34,731,478.65
  5. Step 5: Solve for x
    x = 34,731,478.65/5,095.45
  6. Step 6: Final answer
    x = 6,816.17

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.