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Finding the Fourth Proportional to 5,510.98, 7,605.93 and 3,415.78

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Solution

The fourth proportional to 5,510.98, 7,605.93 and 3,415.78 is: 4,714.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,510.98 : 7,605.93 = 3,415.78 : x
  2. Step 2: Convert to fraction form
    5,510.98/7,605.93 = 3,415.78/x
  3. Step 3: Cross multiply
    5,510.98x = 7,605.93 × 3,415.78
  4. Step 4: Simplify right side
    5,510.98x = 25,980,183.58
  5. Step 5: Solve for x
    x = 25,980,183.58/5,510.98
  6. Step 6: Final answer
    x = 4,714.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.