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Finding the Fourth Proportional to 4,354.68, 6,009.32 and 3,180.72

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Solution

The fourth proportional to 4,354.68, 6,009.32 and 3,180.72 is: 4,389.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,354.68 : 6,009.32 = 3,180.72 : x
  2. Step 2: Convert to fraction form
    4,354.68/6,009.32 = 3,180.72/x
  3. Step 3: Cross multiply
    4,354.68x = 6,009.32 × 3,180.72
  4. Step 4: Simplify right side
    4,354.68x = 19,113,964.31
  5. Step 5: Solve for x
    x = 19,113,964.31/4,354.68
  6. Step 6: Final answer
    x = 4,389.29

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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.