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Finding the Fourth Proportional to 4,776.50, 7,165.16 and 1,313.75

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Solution

The fourth proportional to 4,776.50, 7,165.16 and 1,313.75 is: 1,970.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,776.50 : 7,165.16 = 1,313.75 : x
  2. Step 2: Convert to fraction form
    4,776.50/7,165.16 = 1,313.75/x
  3. Step 3: Cross multiply
    4,776.50x = 7,165.16 × 1,313.75
  4. Step 4: Simplify right side
    4,776.50x = 9,413,228.95
  5. Step 5: Solve for x
    x = 9,413,228.95/4,776.50
  6. Step 6: Final answer
    x = 1,970.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.