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Finding the Fourth Proportional to 3,588.81, 5,389.16 and 2,426.33

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Solution

The fourth proportional to 3,588.81, 5,389.16 and 2,426.33 is: 3,643.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,588.81 : 5,389.16 = 2,426.33 : x
  2. Step 2: Convert to fraction form
    3,588.81/5,389.16 = 2,426.33/x
  3. Step 3: Cross multiply
    3,588.81x = 5,389.16 × 2,426.33
  4. Step 4: Simplify right side
    3,588.81x = 13,075,841.51
  5. Step 5: Solve for x
    x = 13,075,841.51/3,588.81
  6. Step 6: Final answer
    x = 3,643.50

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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.