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Finding the Fourth Proportional to 4,574.32, 6,851.06 and 3,580.94

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Solution

The fourth proportional to 4,574.32, 6,851.06 and 3,580.94 is: 5,363.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,574.32 : 6,851.06 = 3,580.94 : x
  2. Step 2: Convert to fraction form
    4,574.32/6,851.06 = 3,580.94/x
  3. Step 3: Cross multiply
    4,574.32x = 6,851.06 × 3,580.94
  4. Step 4: Simplify right side
    4,574.32x = 24,533,234.80
  5. Step 5: Solve for x
    x = 24,533,234.80/4,574.32
  6. Step 6: Final answer
    x = 5,363.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.