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Finding the Fourth Proportional to 3,086.54, 4,630.32 and 1,005.94

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Solution

The fourth proportional to 3,086.54, 4,630.32 and 1,005.94 is: 1,509.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,086.54 : 4,630.32 = 1,005.94 : x
  2. Step 2: Convert to fraction form
    3,086.54/4,630.32 = 1,005.94/x
  3. Step 3: Cross multiply
    3,086.54x = 4,630.32 × 1,005.94
  4. Step 4: Simplify right side
    3,086.54x = 4,657,824.10
  5. Step 5: Solve for x
    x = 4,657,824.10/3,086.54
  6. Step 6: Final answer
    x = 1,509.08

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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.