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Finding the Fourth Proportional to 4,129, 5,698.02 and 2,473

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Solution

The fourth proportional to 4,129, 5,698.02 and 2,473 is: 3,412.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,129 : 5,698.02 = 2,473 : x
  2. Step 2: Convert to fraction form
    4,129/5,698.02 = 2,473/x
  3. Step 3: Cross multiply
    4,129x = 5,698.02 × 2,473
  4. Step 4: Simplify right side
    4,129x = 14,091,203.46
  5. Step 5: Solve for x
    x = 14,091,203.46/4,129
  6. Step 6: Final answer
    x = 3,412.74

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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.