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Finding the Fourth Proportional to 3,466.72, 4,784 and 1,894.72

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Solution

The fourth proportional to 3,466.72, 4,784 and 1,894.72 is: 2,614.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466.72 : 4,784 = 1,894.72 : x
  2. Step 2: Convert to fraction form
    3,466.72/4,784 = 1,894.72/x
  3. Step 3: Cross multiply
    3,466.72x = 4,784 × 1,894.72
  4. Step 4: Simplify right side
    3,466.72x = 9,064,340.48
  5. Step 5: Solve for x
    x = 9,064,340.48/3,466.72
  6. Step 6: Final answer
    x = 2,614.67

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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.