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Finding the Fourth Proportional to 4,673.17, 6,444.76 and 3,676.66

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Solution

The fourth proportional to 4,673.17, 6,444.76 and 3,676.66 is: 5,070.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,673.17 : 6,444.76 = 3,676.66 : x
  2. Step 2: Convert to fraction form
    4,673.17/6,444.76 = 3,676.66/x
  3. Step 3: Cross multiply
    4,673.17x = 6,444.76 × 3,676.66
  4. Step 4: Simplify right side
    4,673.17x = 23,695,191.30
  5. Step 5: Solve for x
    x = 23,695,191.30/4,673.17
  6. Step 6: Final answer
    x = 5,070.47

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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.