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Finding the Fourth Proportional to 5,699.40, 8,550 and 2,412.51

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Solution

The fourth proportional to 5,699.40, 8,550 and 2,412.51 is: 3,619.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,699.40 : 8,550 = 2,412.51 : x
  2. Step 2: Convert to fraction form
    5,699.40/8,550 = 2,412.51/x
  3. Step 3: Cross multiply
    5,699.40x = 8,550 × 2,412.51
  4. Step 4: Simplify right side
    5,699.40x = 20,626,960.50
  5. Step 5: Solve for x
    x = 20,626,960.50/5,699.40
  6. Step 6: Final answer
    x = 3,619.15

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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.