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Finding the Fourth Proportional to 4,574.56, 6,312.90 and 2,478.68

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Solution

The fourth proportional to 4,574.56, 6,312.90 and 2,478.68 is: 3,420.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,574.56 : 6,312.90 = 2,478.68 : x
  2. Step 2: Convert to fraction form
    4,574.56/6,312.90 = 2,478.68/x
  3. Step 3: Cross multiply
    4,574.56x = 6,312.90 × 2,478.68
  4. Step 4: Simplify right side
    4,574.56x = 15,647,658.97
  5. Step 5: Solve for x
    x = 15,647,658.97/4,574.56
  6. Step 6: Final answer
    x = 3,420.58

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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.