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Finding the Fourth Proportional to 4,497.06, 6,745.80 and 1,575.36

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Solution

The fourth proportional to 4,497.06, 6,745.80 and 1,575.36 is: 2,363.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,497.06 : 6,745.80 = 1,575.36 : x
  2. Step 2: Convert to fraction form
    4,497.06/6,745.80 = 1,575.36/x
  3. Step 3: Cross multiply
    4,497.06x = 6,745.80 × 1,575.36
  4. Step 4: Simplify right side
    4,497.06x = 10,627,063.49
  5. Step 5: Solve for x
    x = 10,627,063.49/4,497.06
  6. Step 6: Final answer
    x = 2,363.11

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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.