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Finding the Fourth Proportional to 3,143.60, 4,705 and 3,032.88

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Solution

The fourth proportional to 3,143.60, 4,705 and 3,032.88 is: 4,539.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.60 : 4,705 = 3,032.88 : x
  2. Step 2: Convert to fraction form
    3,143.60/4,705 = 3,032.88/x
  3. Step 3: Cross multiply
    3,143.60x = 4,705 × 3,032.88
  4. Step 4: Simplify right side
    3,143.60x = 14,269,700.40
  5. Step 5: Solve for x
    x = 14,269,700.40/3,143.60
  6. Step 6: Final answer
    x = 4,539.29

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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.