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Finding the Fourth Proportional to 4,574.64, 6,313.04 and 2,478.77

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Solution

The fourth proportional to 4,574.64, 6,313.04 and 2,478.77 is: 3,420.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,574.64 : 6,313.04 = 2,478.77 : x
  2. Step 2: Convert to fraction form
    4,574.64/6,313.04 = 2,478.77/x
  3. Step 3: Cross multiply
    4,574.64x = 6,313.04 × 2,478.77
  4. Step 4: Simplify right side
    4,574.64x = 15,648,530.20
  5. Step 5: Solve for x
    x = 15,648,530.20/4,574.64
  6. Step 6: Final answer
    x = 3,420.71

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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.