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Finding the Fourth Proportional to 3,673.66, 5,510.48 and 1,333.66

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Solution

The fourth proportional to 3,673.66, 5,510.48 and 1,333.66 is: 2,000.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,673.66 : 5,510.48 = 1,333.66 : x
  2. Step 2: Convert to fraction form
    3,673.66/5,510.48 = 1,333.66/x
  3. Step 3: Cross multiply
    3,673.66x = 5,510.48 × 1,333.66
  4. Step 4: Simplify right side
    3,673.66x = 7,349,106.76
  5. Step 5: Solve for x
    x = 7,349,106.76/3,673.66
  6. Step 6: Final answer
    x = 2,000.49

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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.