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Finding the Fourth Proportional to 5,149.81, 7,723.53 and 3,070.40

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Solution

The fourth proportional to 5,149.81, 7,723.53 and 3,070.40 is: 4,604.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,149.81 : 7,723.53 = 3,070.40 : x
  2. Step 2: Convert to fraction form
    5,149.81/7,723.53 = 3,070.40/x
  3. Step 3: Cross multiply
    5,149.81x = 7,723.53 × 3,070.40
  4. Step 4: Simplify right side
    5,149.81x = 23,714,326.51
  5. Step 5: Solve for x
    x = 23,714,326.51/5,149.81
  6. Step 6: Final answer
    x = 4,604.89

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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.