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Finding the Fourth Proportional to 6,499.26, 9,752.54 and 2,603.98

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Solution

The fourth proportional to 6,499.26, 9,752.54 and 2,603.98 is: 3,907.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,499.26 : 9,752.54 = 2,603.98 : x
  2. Step 2: Convert to fraction form
    6,499.26/9,752.54 = 2,603.98/x
  3. Step 3: Cross multiply
    6,499.26x = 9,752.54 × 2,603.98
  4. Step 4: Simplify right side
    6,499.26x = 25,395,419.11
  5. Step 5: Solve for x
    x = 25,395,419.11/6,499.26
  6. Step 6: Final answer
    x = 3,907.43

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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.