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Finding the Fourth Proportional to 4,802.90, 6,625.70 and 4,138.59

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Solution

The fourth proportional to 4,802.90, 6,625.70 and 4,138.59 is: 5,709.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,802.90 : 6,625.70 = 4,138.59 : x
  2. Step 2: Convert to fraction form
    4,802.90/6,625.70 = 4,138.59/x
  3. Step 3: Cross multiply
    4,802.90x = 6,625.70 × 4,138.59
  4. Step 4: Simplify right side
    4,802.90x = 27,421,075.44
  5. Step 5: Solve for x
    x = 27,421,075.44/4,802.90
  6. Step 6: Final answer
    x = 5,709.28

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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.