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Finding the Fourth Proportional to 4,702.19, 7,064.31 and 4,436.21

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Solution

The fourth proportional to 4,702.19, 7,064.31 and 4,436.21 is: 6,664.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.19 : 7,064.31 = 4,436.21 : x
  2. Step 2: Convert to fraction form
    4,702.19/7,064.31 = 4,436.21/x
  3. Step 3: Cross multiply
    4,702.19x = 7,064.31 × 4,436.21
  4. Step 4: Simplify right side
    4,702.19x = 31,338,727.34
  5. Step 5: Solve for x
    x = 31,338,727.34/4,702.19
  6. Step 6: Final answer
    x = 6,664.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.