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Finding the Fourth Proportional to 5,605.94, 8,409.69 and 1,907.16

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Solution

The fourth proportional to 5,605.94, 8,409.69 and 1,907.16 is: 2,861.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,605.94 : 8,409.69 = 1,907.16 : x
  2. Step 2: Convert to fraction form
    5,605.94/8,409.69 = 1,907.16/x
  3. Step 3: Cross multiply
    5,605.94x = 8,409.69 × 1,907.16
  4. Step 4: Simplify right side
    5,605.94x = 16,038,624.38
  5. Step 5: Solve for x
    x = 16,038,624.38/5,605.94
  6. Step 6: Final answer
    x = 2,861.01

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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.