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Finding the Fourth Proportional to 4,574.07, 6,312.13 and 3,002.06

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Solution

The fourth proportional to 4,574.07, 6,312.13 and 3,002.06 is: 4,142.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,574.07 : 6,312.13 = 3,002.06 : x
  2. Step 2: Convert to fraction form
    4,574.07/6,312.13 = 3,002.06/x
  3. Step 3: Cross multiply
    4,574.07x = 6,312.13 × 3,002.06
  4. Step 4: Simplify right side
    4,574.07x = 18,949,401.26
  5. Step 5: Solve for x
    x = 18,949,401.26/4,574.07
  6. Step 6: Final answer
    x = 4,142.79

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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.