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Finding the Fourth Proportional to 4,342.60, 6,509.04 and 3,475.09

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Solution

The fourth proportional to 4,342.60, 6,509.04 and 3,475.09 is: 5,208.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,342.60 : 6,509.04 = 3,475.09 : x
  2. Step 2: Convert to fraction form
    4,342.60/6,509.04 = 3,475.09/x
  3. Step 3: Cross multiply
    4,342.60x = 6,509.04 × 3,475.09
  4. Step 4: Simplify right side
    4,342.60x = 22,619,499.81
  5. Step 5: Solve for x
    x = 22,619,499.81/4,342.60
  6. Step 6: Final answer
    x = 5,208.75

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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.