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Finding the Fourth Proportional to 4,868.44, 7,303.74 and 1,405.96

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Solution

The fourth proportional to 4,868.44, 7,303.74 and 1,405.96 is: 2,109.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,868.44 : 7,303.74 = 1,405.96 : x
  2. Step 2: Convert to fraction form
    4,868.44/7,303.74 = 1,405.96/x
  3. Step 3: Cross multiply
    4,868.44x = 7,303.74 × 1,405.96
  4. Step 4: Simplify right side
    4,868.44x = 10,268,766.29
  5. Step 5: Solve for x
    x = 10,268,766.29/4,868.44
  6. Step 6: Final answer
    x = 2,109.25

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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.