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Finding the Fourth Proportional to 3,086.54, 4,630.10 and 1,006.01

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Solution

The fourth proportional to 3,086.54, 4,630.10 and 1,006.01 is: 1,509.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,086.54 : 4,630.10 = 1,006.01 : x
  2. Step 2: Convert to fraction form
    3,086.54/4,630.10 = 1,006.01/x
  3. Step 3: Cross multiply
    3,086.54x = 4,630.10 × 1,006.01
  4. Step 4: Simplify right side
    3,086.54x = 4,657,916.08
  5. Step 5: Solve for x
    x = 4,657,916.08/3,086.54
  6. Step 6: Final answer
    x = 1,509.10

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Why These Related Problems?

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