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Finding the Fourth Proportional to 4,664.99, 6,978.26 and 4,254.41

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Solution

The fourth proportional to 4,664.99, 6,978.26 and 4,254.41 is: 6,364.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,664.99 : 6,978.26 = 4,254.41 : x
  2. Step 2: Convert to fraction form
    4,664.99/6,978.26 = 4,254.41/x
  3. Step 3: Cross multiply
    4,664.99x = 6,978.26 × 4,254.41
  4. Step 4: Simplify right side
    4,664.99x = 29,688,407.21
  5. Step 5: Solve for x
    x = 29,688,407.21/4,664.99
  6. Step 6: Final answer
    x = 6,364.08

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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.