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Finding the Fourth Proportional to 4,574.64, 6,315.84 and 3,082.80

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Solution

The fourth proportional to 4,574.64, 6,315.84 and 3,082.80 is: 4,256.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,574.64 : 6,315.84 = 3,082.80 : x
  2. Step 2: Convert to fraction form
    4,574.64/6,315.84 = 3,082.80/x
  3. Step 3: Cross multiply
    4,574.64x = 6,315.84 × 3,082.80
  4. Step 4: Simplify right side
    4,574.64x = 19,470,471.55
  5. Step 5: Solve for x
    x = 19,470,471.55/4,574.64
  6. Step 6: Final answer
    x = 4,256.18

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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.