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Finding the Fourth Proportional to 4,296.54, 5,929.02 and 2,407.89

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Solution

The fourth proportional to 4,296.54, 5,929.02 and 2,407.89 is: 3,322.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,296.54 : 5,929.02 = 2,407.89 : x
  2. Step 2: Convert to fraction form
    4,296.54/5,929.02 = 2,407.89/x
  3. Step 3: Cross multiply
    4,296.54x = 5,929.02 × 2,407.89
  4. Step 4: Simplify right side
    4,296.54x = 14,276,427.97
  5. Step 5: Solve for x
    x = 14,276,427.97/4,296.54
  6. Step 6: Final answer
    x = 3,322.77

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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.