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Finding the Fourth Proportional to 6,538.58, 9,023.25 and 3,554.45

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Solution

The fourth proportional to 6,538.58, 9,023.25 and 3,554.45 is: 4,905.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538.58 : 9,023.25 = 3,554.45 : x
  2. Step 2: Convert to fraction form
    6,538.58/9,023.25 = 3,554.45/x
  3. Step 3: Cross multiply
    6,538.58x = 9,023.25 × 3,554.45
  4. Step 4: Simplify right side
    6,538.58x = 32,072,690.96
  5. Step 5: Solve for x
    x = 32,072,690.96/6,538.58
  6. Step 6: Final answer
    x = 4,905.15

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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.