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Finding the Fourth Proportional to 4,574.52, 6,312.84 and 2,478.65

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Solution

The fourth proportional to 4,574.52, 6,312.84 and 2,478.65 is: 3,420.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,574.52 : 6,312.84 = 2,478.65 : x
  2. Step 2: Convert to fraction form
    4,574.52/6,312.84 = 2,478.65/x
  3. Step 3: Cross multiply
    4,574.52x = 6,312.84 × 2,478.65
  4. Step 4: Simplify right side
    4,574.52x = 15,647,289.30
  5. Step 5: Solve for x
    x = 15,647,289.30/4,574.52
  6. Step 6: Final answer
    x = 3,420.53

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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.