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Finding the Fourth Proportional to 4,303.50, 6,454.64 and 1,381.42

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Solution

The fourth proportional to 4,303.50, 6,454.64 and 1,381.42 is: 2,071.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,303.50 : 6,454.64 = 1,381.42 : x
  2. Step 2: Convert to fraction form
    4,303.50/6,454.64 = 1,381.42/x
  3. Step 3: Cross multiply
    4,303.50x = 6,454.64 × 1,381.42
  4. Step 4: Simplify right side
    4,303.50x = 8,916,568.79
  5. Step 5: Solve for x
    x = 8,916,568.79/4,303.50
  6. Step 6: Final answer
    x = 2,071.93

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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.