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Finding the Fourth Proportional to 5,116.53, 7,674.83 and 1,827.32

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Solution

The fourth proportional to 5,116.53, 7,674.83 and 1,827.32 is: 2,740.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,116.53 : 7,674.83 = 1,827.32 : x
  2. Step 2: Convert to fraction form
    5,116.53/7,674.83 = 1,827.32/x
  3. Step 3: Cross multiply
    5,116.53x = 7,674.83 × 1,827.32
  4. Step 4: Simplify right side
    5,116.53x = 14,024,370.36
  5. Step 5: Solve for x
    x = 14,024,370.36/5,116.53
  6. Step 6: Final answer
    x = 2,740.99

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1.5x scale

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.