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Finding the Fourth Proportional to 7,034.92, 9,710.51 and 4,051.49

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Solution

The fourth proportional to 7,034.92, 9,710.51 and 4,051.49 is: 5,592.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,034.92 : 9,710.51 = 4,051.49 : x
  2. Step 2: Convert to fraction form
    7,034.92/9,710.51 = 4,051.49/x
  3. Step 3: Cross multiply
    7,034.92x = 9,710.51 × 4,051.49
  4. Step 4: Simplify right side
    7,034.92x = 39,341,965.35
  5. Step 5: Solve for x
    x = 39,341,965.35/7,034.92
  6. Step 6: Final answer
    x = 5,592.38

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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.