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Finding the Fourth Proportional to 5,214.95, 7,197.35 and 2,977.03

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Solution

The fourth proportional to 5,214.95, 7,197.35 and 2,977.03 is: 4,108.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,214.95 : 7,197.35 = 2,977.03 : x
  2. Step 2: Convert to fraction form
    5,214.95/7,197.35 = 2,977.03/x
  3. Step 3: Cross multiply
    5,214.95x = 7,197.35 × 2,977.03
  4. Step 4: Simplify right side
    5,214.95x = 21,426,693.99
  5. Step 5: Solve for x
    x = 21,426,693.99/5,214.95
  6. Step 6: Final answer
    x = 4,108.71

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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.