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Finding the Fourth Proportional to 3,506.66, 5,262 and 1,426.28

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Solution

The fourth proportional to 3,506.66, 5,262 and 1,426.28 is: 2,140.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506.66 : 5,262 = 1,426.28 : x
  2. Step 2: Convert to fraction form
    3,506.66/5,262 = 1,426.28/x
  3. Step 3: Cross multiply
    3,506.66x = 5,262 × 1,426.28
  4. Step 4: Simplify right side
    3,506.66x = 7,505,085.36
  5. Step 5: Solve for x
    x = 7,505,085.36/3,506.66
  6. Step 6: Final answer
    x = 2,140.24

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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.