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Finding the Fourth Proportional to 3,135.18, 4,703 and 1,055.19

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Solution

The fourth proportional to 3,135.18, 4,703 and 1,055.19 is: 1,582.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,135.18 : 4,703 = 1,055.19 : x
  2. Step 2: Convert to fraction form
    3,135.18/4,703 = 1,055.19/x
  3. Step 3: Cross multiply
    3,135.18x = 4,703 × 1,055.19
  4. Step 4: Simplify right side
    3,135.18x = 4,962,558.57
  5. Step 5: Solve for x
    x = 4,962,558.57/3,135.18
  6. Step 6: Final answer
    x = 1,582.86

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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.