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Finding the Fourth Proportional to 4,291.68, 5,923.26 and 2,428.68

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Solution

The fourth proportional to 4,291.68, 5,923.26 and 2,428.68 is: 3,352.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,291.68 : 5,923.26 = 2,428.68 : x
  2. Step 2: Convert to fraction form
    4,291.68/5,923.26 = 2,428.68/x
  3. Step 3: Cross multiply
    4,291.68x = 5,923.26 × 2,428.68
  4. Step 4: Simplify right side
    4,291.68x = 14,385,703.10
  5. Step 5: Solve for x
    x = 14,385,703.10/4,291.68
  6. Step 6: Final answer
    x = 3,352.00

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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.