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Finding the Fourth Proportional to 4,574.69, 6,313.07 and 2,478.81

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Solution

The fourth proportional to 4,574.69, 6,313.07 and 2,478.81 is: 3,420.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,574.69 : 6,313.07 = 2,478.81 : x
  2. Step 2: Convert to fraction form
    4,574.69/6,313.07 = 2,478.81/x
  3. Step 3: Cross multiply
    4,574.69x = 6,313.07 × 2,478.81
  4. Step 4: Simplify right side
    4,574.69x = 15,648,888.65
  5. Step 5: Solve for x
    x = 15,648,888.65/4,574.69
  6. Step 6: Final answer
    x = 3,420.76

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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.