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Finding the Fourth Proportional to 4,900.84, 7,346.52 and 3,140.91

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Solution

The fourth proportional to 4,900.84, 7,346.52 and 3,140.91 is: 4,708.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,900.84 : 7,346.52 = 3,140.91 : x
  2. Step 2: Convert to fraction form
    4,900.84/7,346.52 = 3,140.91/x
  3. Step 3: Cross multiply
    4,900.84x = 7,346.52 × 3,140.91
  4. Step 4: Simplify right side
    4,900.84x = 23,074,758.13
  5. Step 5: Solve for x
    x = 23,074,758.13/4,900.84
  6. Step 6: Final answer
    x = 4,708.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.