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Finding the Fourth Proportional to 3,458.40, 5,210.70 and 3,129.78

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Solution

The fourth proportional to 3,458.40, 5,210.70 and 3,129.78 is: 4,715.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,458.40 : 5,210.70 = 3,129.78 : x
  2. Step 2: Convert to fraction form
    3,458.40/5,210.70 = 3,129.78/x
  3. Step 3: Cross multiply
    3,458.40x = 5,210.70 × 3,129.78
  4. Step 4: Simplify right side
    3,458.40x = 16,308,344.65
  5. Step 5: Solve for x
    x = 16,308,344.65/3,458.40
  6. Step 6: Final answer
    x = 4,715.58

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.