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Finding the Fourth Proportional to 3,698.67, 5,547.40 and 1,101

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Solution

The fourth proportional to 3,698.67, 5,547.40 and 1,101 is: 1,651.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.67 : 5,547.40 = 1,101 : x
  2. Step 2: Convert to fraction form
    3,698.67/5,547.40 = 1,101/x
  3. Step 3: Cross multiply
    3,698.67x = 5,547.40 × 1,101
  4. Step 4: Simplify right side
    3,698.67x = 6,107,681.90
  5. Step 5: Solve for x
    x = 6,107,681.90/3,698.67
  6. Step 6: Final answer
    x = 1,651.32

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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.