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Finding the Fourth Proportional to 4,235.40, 6,353.10 and 1,313.70

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Solution

The fourth proportional to 4,235.40, 6,353.10 and 1,313.70 is: 1,970.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,235.40 : 6,353.10 = 1,313.70 : x
  2. Step 2: Convert to fraction form
    4,235.40/6,353.10 = 1,313.70/x
  3. Step 3: Cross multiply
    4,235.40x = 6,353.10 × 1,313.70
  4. Step 4: Simplify right side
    4,235.40x = 8,346,067.47
  5. Step 5: Solve for x
    x = 8,346,067.47/4,235.40
  6. Step 6: Final answer
    x = 1,970.55

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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.