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Finding the Fourth Proportional to 4,596.29, 6,341.04 and 3,002.43

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Solution

The fourth proportional to 4,596.29, 6,341.04 and 3,002.43 is: 4,142.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,596.29 : 6,341.04 = 3,002.43 : x
  2. Step 2: Convert to fraction form
    4,596.29/6,341.04 = 3,002.43/x
  3. Step 3: Cross multiply
    4,596.29x = 6,341.04 × 3,002.43
  4. Step 4: Simplify right side
    4,596.29x = 19,038,528.73
  5. Step 5: Solve for x
    x = 19,038,528.73/4,596.29
  6. Step 6: Final answer
    x = 4,142.15

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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.