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Finding the Fourth Proportional to 4,776.70, 7,164.18 and 1,313.92

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Solution

The fourth proportional to 4,776.70, 7,164.18 and 1,313.92 is: 1,970.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,776.70 : 7,164.18 = 1,313.92 : x
  2. Step 2: Convert to fraction form
    4,776.70/7,164.18 = 1,313.92/x
  3. Step 3: Cross multiply
    4,776.70x = 7,164.18 × 1,313.92
  4. Step 4: Simplify right side
    4,776.70x = 9,413,159.39
  5. Step 5: Solve for x
    x = 9,413,159.39/4,776.70
  6. Step 6: Final answer
    x = 1,970.64

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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.