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Finding the Fourth Proportional to 4,566.75, 6,304.28 and 4,402.59

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Solution

The fourth proportional to 4,566.75, 6,304.28 and 4,402.59 is: 6,077.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,566.75 : 6,304.28 = 4,402.59 : x
  2. Step 2: Convert to fraction form
    4,566.75/6,304.28 = 4,402.59/x
  3. Step 3: Cross multiply
    4,566.75x = 6,304.28 × 4,402.59
  4. Step 4: Simplify right side
    4,566.75x = 27,755,138.07
  5. Step 5: Solve for x
    x = 27,755,138.07/4,566.75
  6. Step 6: Final answer
    x = 6,077.66

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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.