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Finding the Fourth Proportional to 3,341.40, 5,007.75 and 1,364.71

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Solution

The fourth proportional to 3,341.40, 5,007.75 and 1,364.71 is: 2,045.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,341.40 : 5,007.75 = 1,364.71 : x
  2. Step 2: Convert to fraction form
    3,341.40/5,007.75 = 1,364.71/x
  3. Step 3: Cross multiply
    3,341.40x = 5,007.75 × 1,364.71
  4. Step 4: Simplify right side
    3,341.40x = 6,834,126.50
  5. Step 5: Solve for x
    x = 6,834,126.50/3,341.40
  6. Step 6: Final answer
    x = 2,045.29

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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.