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Finding the Fourth Proportional to 7,034.51, 9,707.49 and 3,890.63

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Solution

The fourth proportional to 7,034.51, 9,707.49 and 3,890.63 is: 5,368.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,034.51 : 9,707.49 = 3,890.63 : x
  2. Step 2: Convert to fraction form
    7,034.51/9,707.49 = 3,890.63/x
  3. Step 3: Cross multiply
    7,034.51x = 9,707.49 × 3,890.63
  4. Step 4: Simplify right side
    7,034.51x = 37,768,203.28
  5. Step 5: Solve for x
    x = 37,768,203.28/7,034.51
  6. Step 6: Final answer
    x = 5,368.99

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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.