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Finding the Fourth Proportional to 4,339.53, 6,509.21 and 1,052.64

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Solution

The fourth proportional to 4,339.53, 6,509.21 and 1,052.64 is: 1,578.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,339.53 : 6,509.21 = 1,052.64 : x
  2. Step 2: Convert to fraction form
    4,339.53/6,509.21 = 1,052.64/x
  3. Step 3: Cross multiply
    4,339.53x = 6,509.21 × 1,052.64
  4. Step 4: Simplify right side
    4,339.53x = 6,851,849.55
  5. Step 5: Solve for x
    x = 6,851,849.55/4,339.53
  6. Step 6: Final answer
    x = 1,578.94

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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.