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Finding the Fourth Proportional to 3,676.19, 5,509.65 and 1,483.70

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Solution

The fourth proportional to 3,676.19, 5,509.65 and 1,483.70 is: 2,223.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,676.19 : 5,509.65 = 1,483.70 : x
  2. Step 2: Convert to fraction form
    3,676.19/5,509.65 = 1,483.70/x
  3. Step 3: Cross multiply
    3,676.19x = 5,509.65 × 1,483.70
  4. Step 4: Simplify right side
    3,676.19x = 8,174,667.71
  5. Step 5: Solve for x
    x = 8,174,667.71/3,676.19
  6. Step 6: Final answer
    x = 2,223.68

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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.