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Finding the Fourth Proportional to 4,339.69, 6,509.54 and 1,261.69

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Solution

The fourth proportional to 4,339.69, 6,509.54 and 1,261.69 is: 1,892.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,339.69 : 6,509.54 = 1,261.69 : x
  2. Step 2: Convert to fraction form
    4,339.69/6,509.54 = 1,261.69/x
  3. Step 3: Cross multiply
    4,339.69x = 6,509.54 × 1,261.69
  4. Step 4: Simplify right side
    4,339.69x = 8,213,008.40
  5. Step 5: Solve for x
    x = 8,213,008.40/4,339.69
  6. Step 6: Final answer
    x = 1,892.53

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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.