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Finding the Fourth Proportional to 4,726.56, 6,522.75 and 2,602.17

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Solution

The fourth proportional to 4,726.56, 6,522.75 and 2,602.17 is: 3,591.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,726.56 : 6,522.75 = 2,602.17 : x
  2. Step 2: Convert to fraction form
    4,726.56/6,522.75 = 2,602.17/x
  3. Step 3: Cross multiply
    4,726.56x = 6,522.75 × 2,602.17
  4. Step 4: Simplify right side
    4,726.56x = 16,973,304.37
  5. Step 5: Solve for x
    x = 16,973,304.37/4,726.56
  6. Step 6: Final answer
    x = 3,591.05

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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.