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Finding the Fourth Proportional to 5,436.05, 7,509.51 and 5,042.39

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Solution

The fourth proportional to 5,436.05, 7,509.51 and 5,042.39 is: 6,965.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,436.05 : 7,509.51 = 5,042.39 : x
  2. Step 2: Convert to fraction form
    5,436.05/7,509.51 = 5,042.39/x
  3. Step 3: Cross multiply
    5,436.05x = 7,509.51 × 5,042.39
  4. Step 4: Simplify right side
    5,436.05x = 37,865,840.58
  5. Step 5: Solve for x
    x = 37,865,840.58/5,436.05
  6. Step 6: Final answer
    x = 6,965.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.