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Finding the Fourth Proportional to 4,768.47, 6,573.96 and 4,702.86

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Solution

The fourth proportional to 4,768.47, 6,573.96 and 4,702.86 is: 6,483.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768.47 : 6,573.96 = 4,702.86 : x
  2. Step 2: Convert to fraction form
    4,768.47/6,573.96 = 4,702.86/x
  3. Step 3: Cross multiply
    4,768.47x = 6,573.96 × 4,702.86
  4. Step 4: Simplify right side
    4,768.47x = 30,916,413.53
  5. Step 5: Solve for x
    x = 30,916,413.53/4,768.47
  6. Step 6: Final answer
    x = 6,483.51

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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.