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Finding the Fourth Proportional to 4,626.08, 6,381.96 and 2,762

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Solution

The fourth proportional to 4,626.08, 6,381.96 and 2,762 is: 3,810.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,626.08 : 6,381.96 = 2,762 : x
  2. Step 2: Convert to fraction form
    4,626.08/6,381.96 = 2,762/x
  3. Step 3: Cross multiply
    4,626.08x = 6,381.96 × 2,762
  4. Step 4: Simplify right side
    4,626.08x = 17,626,973.52
  5. Step 5: Solve for x
    x = 17,626,973.52/4,626.08
  6. Step 6: Final answer
    x = 3,810.35

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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.