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Finding the Fourth Proportional to 4,222.65, 6,333.98 and 1,300.93

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Solution

The fourth proportional to 4,222.65, 6,333.98 and 1,300.93 is: 1,951.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,222.65 : 6,333.98 = 1,300.93 : x
  2. Step 2: Convert to fraction form
    4,222.65/6,333.98 = 1,300.93/x
  3. Step 3: Cross multiply
    4,222.65x = 6,333.98 × 1,300.93
  4. Step 4: Simplify right side
    4,222.65x = 8,240,064.60
  5. Step 5: Solve for x
    x = 8,240,064.60/4,222.65
  6. Step 6: Final answer
    x = 1,951.40

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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.