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Finding the Fourth Proportional to 5,235.86, 7,838.94 and 4,743.16

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Solution

The fourth proportional to 5,235.86, 7,838.94 and 4,743.16 is: 7,101.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,235.86 : 7,838.94 = 4,743.16 : x
  2. Step 2: Convert to fraction form
    5,235.86/7,838.94 = 4,743.16/x
  3. Step 3: Cross multiply
    5,235.86x = 7,838.94 × 4,743.16
  4. Step 4: Simplify right side
    5,235.86x = 37,181,307.46
  5. Step 5: Solve for x
    x = 37,181,307.46/5,235.86
  6. Step 6: Final answer
    x = 7,101.28

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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.