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Finding the Fourth Proportional to 4,776.08, 7,164.16 and 1,313.52

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Solution

The fourth proportional to 4,776.08, 7,164.16 and 1,313.52 is: 1,970.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,776.08 : 7,164.16 = 1,313.52 : x
  2. Step 2: Convert to fraction form
    4,776.08/7,164.16 = 1,313.52/x
  3. Step 3: Cross multiply
    4,776.08x = 7,164.16 × 1,313.52
  4. Step 4: Simplify right side
    4,776.08x = 9,410,267.44
  5. Step 5: Solve for x
    x = 9,410,267.44/4,776.08
  6. Step 6: Final answer
    x = 1,970.29

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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.