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Finding the Fourth Proportional to 4,208.34, 5,807.04 and 2,529.42

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Solution

The fourth proportional to 4,208.34, 5,807.04 and 2,529.42 is: 3,490.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,208.34 : 5,807.04 = 2,529.42 : x
  2. Step 2: Convert to fraction form
    4,208.34/5,807.04 = 2,529.42/x
  3. Step 3: Cross multiply
    4,208.34x = 5,807.04 × 2,529.42
  4. Step 4: Simplify right side
    4,208.34x = 14,688,443.12
  5. Step 5: Solve for x
    x = 14,688,443.12/4,208.34
  6. Step 6: Final answer
    x = 3,490.32

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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.