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Finding the Fourth Proportional to 5,461.50, 7,536.87 and 2,977.50

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Solution

The fourth proportional to 5,461.50, 7,536.87 and 2,977.50 is: 4,108.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,461.50 : 7,536.87 = 2,977.50 : x
  2. Step 2: Convert to fraction form
    5,461.50/7,536.87 = 2,977.50/x
  3. Step 3: Cross multiply
    5,461.50x = 7,536.87 × 2,977.50
  4. Step 4: Simplify right side
    5,461.50x = 22,441,030.43
  5. Step 5: Solve for x
    x = 22,441,030.43/5,461.50
  6. Step 6: Final answer
    x = 4,108.95

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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.