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Finding the Fourth Proportional to 4,729.14, 6,526.16 and 2,739.65

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Solution

The fourth proportional to 4,729.14, 6,526.16 and 2,739.65 is: 3,780.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,729.14 : 6,526.16 = 2,739.65 : x
  2. Step 2: Convert to fraction form
    4,729.14/6,526.16 = 2,739.65/x
  3. Step 3: Cross multiply
    4,729.14x = 6,526.16 × 2,739.65
  4. Step 4: Simplify right side
    4,729.14x = 17,879,417.41
  5. Step 5: Solve for x
    x = 17,879,417.41/4,729.14
  6. Step 6: Final answer
    x = 3,780.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.