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Finding the Fourth Proportional to 5,051.54, 7,568.88 and 1,762.82

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Solution

The fourth proportional to 5,051.54, 7,568.88 and 1,762.82 is: 2,641.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,051.54 : 7,568.88 = 1,762.82 : x
  2. Step 2: Convert to fraction form
    5,051.54/7,568.88 = 1,762.82/x
  3. Step 3: Cross multiply
    5,051.54x = 7,568.88 × 1,762.82
  4. Step 4: Simplify right side
    5,051.54x = 13,342,573.04
  5. Step 5: Solve for x
    x = 13,342,573.04/5,051.54
  6. Step 6: Final answer
    x = 2,641.29

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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.