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Finding the Fourth Proportional to 3,676.63, 5,510.42 and 1,699.58

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Solution

The fourth proportional to 3,676.63, 5,510.42 and 1,699.58 is: 2,547.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,676.63 : 5,510.42 = 1,699.58 : x
  2. Step 2: Convert to fraction form
    3,676.63/5,510.42 = 1,699.58/x
  3. Step 3: Cross multiply
    3,676.63x = 5,510.42 × 1,699.58
  4. Step 4: Simplify right side
    3,676.63x = 9,365,393.80
  5. Step 5: Solve for x
    x = 9,365,393.80/3,676.63
  6. Step 6: Final answer
    x = 2,547.28

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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.