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Finding the Fourth Proportional to 6,256.40, 8,633 and 3,461.52

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Solution

The fourth proportional to 6,256.40, 8,633 and 3,461.52 is: 4,776.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,256.40 : 8,633 = 3,461.52 : x
  2. Step 2: Convert to fraction form
    6,256.40/8,633 = 3,461.52/x
  3. Step 3: Cross multiply
    6,256.40x = 8,633 × 3,461.52
  4. Step 4: Simplify right side
    6,256.40x = 29,883,302.16
  5. Step 5: Solve for x
    x = 29,883,302.16/6,256.40
  6. Step 6: Final answer
    x = 4,776.44

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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.