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Finding the Fourth Proportional to 7,051.58, 9,731.16 and 3,907.76

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Solution

The fourth proportional to 7,051.58, 9,731.16 and 3,907.76 is: 5,392.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,051.58 : 9,731.16 = 3,907.76 : x
  2. Step 2: Convert to fraction form
    7,051.58/9,731.16 = 3,907.76/x
  3. Step 3: Cross multiply
    7,051.58x = 9,731.16 × 3,907.76
  4. Step 4: Simplify right side
    7,051.58x = 38,027,037.80
  5. Step 5: Solve for x
    x = 38,027,037.80/7,051.58
  6. Step 6: Final answer
    x = 5,392.70

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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.