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Finding the Fourth Proportional to 4,693.63, 7,042.61 and 1,771.69

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Solution

The fourth proportional to 4,693.63, 7,042.61 and 1,771.69 is: 2,658.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,693.63 : 7,042.61 = 1,771.69 : x
  2. Step 2: Convert to fraction form
    4,693.63/7,042.61 = 1,771.69/x
  3. Step 3: Cross multiply
    4,693.63x = 7,042.61 × 1,771.69
  4. Step 4: Simplify right side
    4,693.63x = 12,477,321.71
  5. Step 5: Solve for x
    x = 12,477,321.71/4,693.63
  6. Step 6: Final answer
    x = 2,658.35

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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.