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Finding the Fourth Proportional to 4,496.77, 6,745.15 and 1,575.07

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Solution

The fourth proportional to 4,496.77, 6,745.15 and 1,575.07 is: 2,362.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,496.77 : 6,745.15 = 1,575.07 : x
  2. Step 2: Convert to fraction form
    4,496.77/6,745.15 = 1,575.07/x
  3. Step 3: Cross multiply
    4,496.77x = 6,745.15 × 1,575.07
  4. Step 4: Simplify right side
    4,496.77x = 10,624,083.41
  5. Step 5: Solve for x
    x = 10,624,083.41/4,496.77
  6. Step 6: Final answer
    x = 2,362.60

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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.