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Finding the Fourth Proportional to 5,184.49, 7,776.74 and 1,288.90

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Solution

The fourth proportional to 5,184.49, 7,776.74 and 1,288.90 is: 1,933.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,184.49 : 7,776.74 = 1,288.90 : x
  2. Step 2: Convert to fraction form
    5,184.49/7,776.74 = 1,288.90/x
  3. Step 3: Cross multiply
    5,184.49x = 7,776.74 × 1,288.90
  4. Step 4: Simplify right side
    5,184.49x = 10,023,423.97
  5. Step 5: Solve for x
    x = 10,023,423.97/5,184.49
  6. Step 6: Final answer
    x = 1,933.35

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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.