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Finding the Fourth Proportional to 3,788.55, 5,684.24 and 1,707.93

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Solution

The fourth proportional to 3,788.55, 5,684.24 and 1,707.93 is: 2,562.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,788.55 : 5,684.24 = 1,707.93 : x
  2. Step 2: Convert to fraction form
    3,788.55/5,684.24 = 1,707.93/x
  3. Step 3: Cross multiply
    3,788.55x = 5,684.24 × 1,707.93
  4. Step 4: Simplify right side
    3,788.55x = 9,708,284.02
  5. Step 5: Solve for x
    x = 9,708,284.02/3,788.55
  6. Step 6: Final answer
    x = 2,562.53

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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.