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Finding the Fourth Proportional to 4,358.46, 6,538.32 and 2,509.26

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Solution

The fourth proportional to 4,358.46, 6,538.32 and 2,509.26 is: 3,764.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,358.46 : 6,538.32 = 2,509.26 : x
  2. Step 2: Convert to fraction form
    4,358.46/6,538.32 = 2,509.26/x
  3. Step 3: Cross multiply
    4,358.46x = 6,538.32 × 2,509.26
  4. Step 4: Simplify right side
    4,358.46x = 16,406,344.84
  5. Step 5: Solve for x
    x = 16,406,344.84/4,358.46
  6. Step 6: Final answer
    x = 3,764.25

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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.