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Finding the Fourth Proportional to 4,668.60, 7,004.26 and 1,381.77

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Solution

The fourth proportional to 4,668.60, 7,004.26 and 1,381.77 is: 2,073.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,668.60 : 7,004.26 = 1,381.77 : x
  2. Step 2: Convert to fraction form
    4,668.60/7,004.26 = 1,381.77/x
  3. Step 3: Cross multiply
    4,668.60x = 7,004.26 × 1,381.77
  4. Step 4: Simplify right side
    4,668.60x = 9,678,276.34
  5. Step 5: Solve for x
    x = 9,678,276.34/4,668.60
  6. Step 6: Final answer
    x = 2,073.06

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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.