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Finding the Fourth Proportional to 4,673.66, 6,458.20 and 4,445.87

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Solution

The fourth proportional to 4,673.66, 6,458.20 and 4,445.87 is: 6,143.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,673.66 : 6,458.20 = 4,445.87 : x
  2. Step 2: Convert to fraction form
    4,673.66/6,458.20 = 4,445.87/x
  3. Step 3: Cross multiply
    4,673.66x = 6,458.20 × 4,445.87
  4. Step 4: Simplify right side
    4,673.66x = 28,712,274.23
  5. Step 5: Solve for x
    x = 28,712,274.23/4,673.66
  6. Step 6: Final answer
    x = 6,143.43

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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.