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Finding the Fourth Proportional to 4,574.81, 6,313.24 and 2,478.94

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Solution

The fourth proportional to 4,574.81, 6,313.24 and 2,478.94 is: 3,420.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,574.81 : 6,313.24 = 2,478.94 : x
  2. Step 2: Convert to fraction form
    4,574.81/6,313.24 = 2,478.94/x
  3. Step 3: Cross multiply
    4,574.81x = 6,313.24 × 2,478.94
  4. Step 4: Simplify right side
    4,574.81x = 15,650,130.48
  5. Step 5: Solve for x
    x = 15,650,130.48/4,574.81
  6. Step 6: Final answer
    x = 3,420.93

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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.