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Finding the Fourth Proportional to 7,051.74, 9,731.70 and 3,907.92

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Solution

The fourth proportional to 7,051.74, 9,731.70 and 3,907.92 is: 5,393.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,051.74 : 9,731.70 = 3,907.92 : x
  2. Step 2: Convert to fraction form
    7,051.74/9,731.70 = 3,907.92/x
  3. Step 3: Cross multiply
    7,051.74x = 9,731.70 × 3,907.92
  4. Step 4: Simplify right side
    7,051.74x = 38,030,705.06
  5. Step 5: Solve for x
    x = 38,030,705.06/7,051.74
  6. Step 6: Final answer
    x = 5,393.10

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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.