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Finding the Fourth Proportional to 5,653.50, 8,474.46 and 2,368.50

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Solution

The fourth proportional to 5,653.50, 8,474.46 and 2,368.50 is: 3,550.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,653.50 : 8,474.46 = 2,368.50 : x
  2. Step 2: Convert to fraction form
    5,653.50/8,474.46 = 2,368.50/x
  3. Step 3: Cross multiply
    5,653.50x = 8,474.46 × 2,368.50
  4. Step 4: Simplify right side
    5,653.50x = 20,071,758.51
  5. Step 5: Solve for x
    x = 20,071,758.51/5,653.50
  6. Step 6: Final answer
    x = 3,550.32

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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.