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Finding the Fourth Proportional to 4,359.40, 6,536.40 and 2,509.60

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Solution

The fourth proportional to 4,359.40, 6,536.40 and 2,509.60 is: 3,762.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,359.40 : 6,536.40 = 2,509.60 : x
  2. Step 2: Convert to fraction form
    4,359.40/6,536.40 = 2,509.60/x
  3. Step 3: Cross multiply
    4,359.40x = 6,536.40 × 2,509.60
  4. Step 4: Simplify right side
    4,359.40x = 16,403,749.44
  5. Step 5: Solve for x
    x = 16,403,749.44/4,359.40
  6. Step 6: Final answer
    x = 3,762.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.