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Finding the Fourth Proportional to 3,170.10, 4,429.50 and 3,170.10

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Solution

The fourth proportional to 3,170.10, 4,429.50 and 3,170.10 is: 4,429.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,170.10 : 4,429.50 = 3,170.10 : x
  2. Step 2: Convert to fraction form
    3,170.10/4,429.50 = 3,170.10/x
  3. Step 3: Cross multiply
    3,170.10x = 4,429.50 × 3,170.10
  4. Step 4: Simplify right side
    3,170.10x = 14,041,957.95
  5. Step 5: Solve for x
    x = 14,041,957.95/3,170.10
  6. Step 6: Final answer
    x = 4,429.50

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.