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Finding the Fourth Proportional to 4,712.96, 6,503.74 and 2,668.64

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Solution

The fourth proportional to 4,712.96, 6,503.74 and 2,668.64 is: 3,682.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,712.96 : 6,503.74 = 2,668.64 : x
  2. Step 2: Convert to fraction form
    4,712.96/6,503.74 = 2,668.64/x
  3. Step 3: Cross multiply
    4,712.96x = 6,503.74 × 2,668.64
  4. Step 4: Simplify right side
    4,712.96x = 17,356,140.71
  5. Step 5: Solve for x
    x = 17,356,140.71/4,712.96
  6. Step 6: Final answer
    x = 3,682.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.