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Finding the Fourth Proportional to 4,477.50, 6,178.95 and 3,082.68

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Solution

The fourth proportional to 4,477.50, 6,178.95 and 3,082.68 is: 4,254.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,477.50 : 6,178.95 = 3,082.68 : x
  2. Step 2: Convert to fraction form
    4,477.50/6,178.95 = 3,082.68/x
  3. Step 3: Cross multiply
    4,477.50x = 6,178.95 × 3,082.68
  4. Step 4: Simplify right side
    4,477.50x = 19,047,725.59
  5. Step 5: Solve for x
    x = 19,047,725.59/4,477.50
  6. Step 6: Final answer
    x = 4,254.10

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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.