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Finding the Fourth Proportional to 4,570.26, 6,866.32 and 2,930

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Solution

The fourth proportional to 4,570.26, 6,866.32 and 2,930 is: 4,402.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,570.26 : 6,866.32 = 2,930 : x
  2. Step 2: Convert to fraction form
    4,570.26/6,866.32 = 2,930/x
  3. Step 3: Cross multiply
    4,570.26x = 6,866.32 × 2,930
  4. Step 4: Simplify right side
    4,570.26x = 20,118,317.60
  5. Step 5: Solve for x
    x = 20,118,317.60/4,570.26
  6. Step 6: Final answer
    x = 4,402.01

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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.