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Finding the Fourth Proportional to 6,510.40, 8,984.16 and 3,677.90

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Solution

The fourth proportional to 6,510.40, 8,984.16 and 3,677.90 is: 5,075.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,510.40 : 8,984.16 = 3,677.90 : x
  2. Step 2: Convert to fraction form
    6,510.40/8,984.16 = 3,677.90/x
  3. Step 3: Cross multiply
    6,510.40x = 8,984.16 × 3,677.90
  4. Step 4: Simplify right side
    6,510.40x = 33,042,842.06
  5. Step 5: Solve for x
    x = 33,042,842.06/6,510.40
  6. Step 6: Final answer
    x = 5,075.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.