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Finding the Fourth Proportional to 5,097.63, 7,038.80 and 3,420.53

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Solution

The fourth proportional to 5,097.63, 7,038.80 and 3,420.53 is: 4,723.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097.63 : 7,038.80 = 3,420.53 : x
  2. Step 2: Convert to fraction form
    5,097.63/7,038.80 = 3,420.53/x
  3. Step 3: Cross multiply
    5,097.63x = 7,038.80 × 3,420.53
  4. Step 4: Simplify right side
    5,097.63x = 24,076,413.49
  5. Step 5: Solve for x
    x = 24,076,413.49/5,097.63
  6. Step 6: Final answer
    x = 4,723.06

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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.