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Finding the Fourth Proportional to 3,101.10, 4,651.65 and 3,068.70

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Solution

The fourth proportional to 3,101.10, 4,651.65 and 3,068.70 is: 4,603.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.10 : 4,651.65 = 3,068.70 : x
  2. Step 2: Convert to fraction form
    3,101.10/4,651.65 = 3,068.70/x
  3. Step 3: Cross multiply
    3,101.10x = 4,651.65 × 3,068.70
  4. Step 4: Simplify right side
    3,101.10x = 14,274,518.36
  5. Step 5: Solve for x
    x = 14,274,518.36/3,101.10
  6. Step 6: Final answer
    x = 4,603.05

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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.