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Finding the Fourth Proportional to 3,652.32, 5,038.36 and 3,154.84

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Solution

The fourth proportional to 3,652.32, 5,038.36 and 3,154.84 is: 4,352.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,652.32 : 5,038.36 = 3,154.84 : x
  2. Step 2: Convert to fraction form
    3,652.32/5,038.36 = 3,154.84/x
  3. Step 3: Cross multiply
    3,652.32x = 5,038.36 × 3,154.84
  4. Step 4: Simplify right side
    3,652.32x = 15,895,219.66
  5. Step 5: Solve for x
    x = 15,895,219.66/3,652.32
  6. Step 6: Final answer
    x = 4,352.09

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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.