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Finding the Fourth Proportional to 3,154.94, 4,735.64 and 3,038.30

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Solution

The fourth proportional to 3,154.94, 4,735.64 and 3,038.30 is: 4,560.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,154.94 : 4,735.64 = 3,038.30 : x
  2. Step 2: Convert to fraction form
    3,154.94/4,735.64 = 3,038.30/x
  3. Step 3: Cross multiply
    3,154.94x = 4,735.64 × 3,038.30
  4. Step 4: Simplify right side
    3,154.94x = 14,388,278.93
  5. Step 5: Solve for x
    x = 14,388,278.93/3,154.94
  6. Step 6: Final answer
    x = 4,560.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.