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Finding the Fourth Proportional to 5,506.07, 8,259.09 and 1,610.46

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Solution

The fourth proportional to 5,506.07, 8,259.09 and 1,610.46 is: 2,415.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,506.07 : 8,259.09 = 1,610.46 : x
  2. Step 2: Convert to fraction form
    5,506.07/8,259.09 = 1,610.46/x
  3. Step 3: Cross multiply
    5,506.07x = 8,259.09 × 1,610.46
  4. Step 4: Simplify right side
    5,506.07x = 13,300,934.08
  5. Step 5: Solve for x
    x = 13,300,934.08/5,506.07
  6. Step 6: Final answer
    x = 2,415.69

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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.