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Finding the Fourth Proportional to 4,672.26, 6,442.70 and 4,603.32

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Solution

The fourth proportional to 4,672.26, 6,442.70 and 4,603.32 is: 6,347.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,672.26 : 6,442.70 = 4,603.32 : x
  2. Step 2: Convert to fraction form
    4,672.26/6,442.70 = 4,603.32/x
  3. Step 3: Cross multiply
    4,672.26x = 6,442.70 × 4,603.32
  4. Step 4: Simplify right side
    4,672.26x = 29,657,786.75
  5. Step 5: Solve for x
    x = 29,657,786.75/4,672.26
  6. Step 6: Final answer
    x = 6,347.63

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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.