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Finding the Fourth Proportional to 4,823.27, 7,235.49 and 1,702.63

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Solution

The fourth proportional to 4,823.27, 7,235.49 and 1,702.63 is: 2,554.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,823.27 : 7,235.49 = 1,702.63 : x
  2. Step 2: Convert to fraction form
    4,823.27/7,235.49 = 1,702.63/x
  3. Step 3: Cross multiply
    4,823.27x = 7,235.49 × 1,702.63
  4. Step 4: Simplify right side
    4,823.27x = 12,319,362.34
  5. Step 5: Solve for x
    x = 12,319,362.34/4,823.27
  6. Step 6: Final answer
    x = 2,554.15

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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.