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Finding the Fourth Proportional to 6,575.04, 9,072.54 and 3,780

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Solution

The fourth proportional to 6,575.04, 9,072.54 and 3,780 is: 5,215.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,575.04 : 9,072.54 = 3,780 : x
  2. Step 2: Convert to fraction form
    6,575.04/9,072.54 = 3,780/x
  3. Step 3: Cross multiply
    6,575.04x = 9,072.54 × 3,780
  4. Step 4: Simplify right side
    6,575.04x = 34,294,201.20
  5. Step 5: Solve for x
    x = 34,294,201.20/6,575.04
  6. Step 6: Final answer
    x = 5,215.82

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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.