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Finding the Fourth Proportional to 4,394.36, 6,509.28 and 4,345.22

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Solution

The fourth proportional to 4,394.36, 6,509.28 and 4,345.22 is: 6,436.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,394.36 : 6,509.28 = 4,345.22 : x
  2. Step 2: Convert to fraction form
    4,394.36/6,509.28 = 4,345.22/x
  3. Step 3: Cross multiply
    4,394.36x = 6,509.28 × 4,345.22
  4. Step 4: Simplify right side
    4,394.36x = 28,284,253.64
  5. Step 5: Solve for x
    x = 28,284,253.64/4,394.36
  6. Step 6: Final answer
    x = 6,436.49

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.