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Finding the Fourth Proportional to 4,399.34, 6,069.59 and 2,509.57

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Solution

The fourth proportional to 4,399.34, 6,069.59 and 2,509.57 is: 3,462.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,399.34 : 6,069.59 = 2,509.57 : x
  2. Step 2: Convert to fraction form
    4,399.34/6,069.59 = 2,509.57/x
  3. Step 3: Cross multiply
    4,399.34x = 6,069.59 × 2,509.57
  4. Step 4: Simplify right side
    4,399.34x = 15,232,060.98
  5. Step 5: Solve for x
    x = 15,232,060.98/4,399.34
  6. Step 6: Final answer
    x = 3,462.35

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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.