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Finding the Fourth Proportional to 3,645.78, 5,460.45 and 1,693.89

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Solution

The fourth proportional to 3,645.78, 5,460.45 and 1,693.89 is: 2,537.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,645.78 : 5,460.45 = 1,693.89 : x
  2. Step 2: Convert to fraction form
    3,645.78/5,460.45 = 1,693.89/x
  3. Step 3: Cross multiply
    3,645.78x = 5,460.45 × 1,693.89
  4. Step 4: Simplify right side
    3,645.78x = 9,249,401.65
  5. Step 5: Solve for x
    x = 9,249,401.65/3,645.78
  6. Step 6: Final answer
    x = 2,537.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.