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Finding the Fourth Proportional to 4,309.59, 6,468.95 and 2,554.53

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Solution

The fourth proportional to 4,309.59, 6,468.95 and 2,554.53 is: 3,834.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,309.59 : 6,468.95 = 2,554.53 : x
  2. Step 2: Convert to fraction form
    4,309.59/6,468.95 = 2,554.53/x
  3. Step 3: Cross multiply
    4,309.59x = 6,468.95 × 2,554.53
  4. Step 4: Simplify right side
    4,309.59x = 16,525,126.84
  5. Step 5: Solve for x
    x = 16,525,126.84/4,309.59
  6. Step 6: Final answer
    x = 3,834.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.