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Finding the Fourth Proportional to 4,672.64, 6,442.86 and 3,411.44

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Solution

The fourth proportional to 4,672.64, 6,442.86 and 3,411.44 is: 4,703.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,672.64 : 6,442.86 = 3,411.44 : x
  2. Step 2: Convert to fraction form
    4,672.64/6,442.86 = 3,411.44/x
  3. Step 3: Cross multiply
    4,672.64x = 6,442.86 × 3,411.44
  4. Step 4: Simplify right side
    4,672.64x = 21,979,430.32
  5. Step 5: Solve for x
    x = 21,979,430.32/4,672.64
  6. Step 6: Final answer
    x = 4,703.86

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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.