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Finding the Fourth Proportional to 5,398.96, 8,094.92 and 1,700.08

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Solution

The fourth proportional to 5,398.96, 8,094.92 and 1,700.08 is: 2,549.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,398.96 : 8,094.92 = 1,700.08 : x
  2. Step 2: Convert to fraction form
    5,398.96/8,094.92 = 1,700.08/x
  3. Step 3: Cross multiply
    5,398.96x = 8,094.92 × 1,700.08
  4. Step 4: Simplify right side
    5,398.96x = 13,762,011.59
  5. Step 5: Solve for x
    x = 13,762,011.59/5,398.96
  6. Step 6: Final answer
    x = 2,549.01

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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.