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Finding the Fourth Proportional to 4,607.07, 6,910.71 and 3,057

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Solution

The fourth proportional to 4,607.07, 6,910.71 and 3,057 is: 4,585.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,607.07 : 6,910.71 = 3,057 : x
  2. Step 2: Convert to fraction form
    4,607.07/6,910.71 = 3,057/x
  3. Step 3: Cross multiply
    4,607.07x = 6,910.71 × 3,057
  4. Step 4: Simplify right side
    4,607.07x = 21,126,040.47
  5. Step 5: Solve for x
    x = 21,126,040.47/4,607.07
  6. Step 6: Final answer
    x = 4,585.57

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Why These Related Problems?

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