Home / 4,106-5,666.40-2,243.12

Finding the Fourth Proportional to 4,106, 5,666.40 and 2,243.12

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Solution

The fourth proportional to 4,106, 5,666.40 and 2,243.12 is: 3,095.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,106 : 5,666.40 = 2,243.12 : x
  2. Step 2: Convert to fraction form
    4,106/5,666.40 = 2,243.12/x
  3. Step 3: Cross multiply
    4,106x = 5,666.40 × 2,243.12
  4. Step 4: Simplify right side
    4,106x = 12,710,415.17
  5. Step 5: Solve for x
    x = 12,710,415.17/4,106
  6. Step 6: Final answer
    x = 3,095.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.