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Finding the Fourth Proportional to 4,574.41, 6,312.67 and 2,478.54

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Solution

The fourth proportional to 4,574.41, 6,312.67 and 2,478.54 is: 3,420.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,574.41 : 6,312.67 = 2,478.54 : x
  2. Step 2: Convert to fraction form
    4,574.41/6,312.67 = 2,478.54/x
  3. Step 3: Cross multiply
    4,574.41x = 6,312.67 × 2,478.54
  4. Step 4: Simplify right side
    4,574.41x = 15,646,205.10
  5. Step 5: Solve for x
    x = 15,646,205.10/4,574.41
  6. Step 6: Final answer
    x = 3,420.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.