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Finding the Fourth Proportional to 6,454.50, 8,907.15 and 3,660

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Solution

The fourth proportional to 6,454.50, 8,907.15 and 3,660 is: 5,050.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,454.50 : 8,907.15 = 3,660 : x
  2. Step 2: Convert to fraction form
    6,454.50/8,907.15 = 3,660/x
  3. Step 3: Cross multiply
    6,454.50x = 8,907.15 × 3,660
  4. Step 4: Simplify right side
    6,454.50x = 32,600,169
  5. Step 5: Solve for x
    x = 32,600,169/6,454.50
  6. Step 6: Final answer
    x = 5,050.77

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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.