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Finding the Fourth Proportional to 5,602.16, 8,406.95 and 3,104.39

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Solution

The fourth proportional to 5,602.16, 8,406.95 and 3,104.39 is: 4,658.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,602.16 : 8,406.95 = 3,104.39 : x
  2. Step 2: Convert to fraction form
    5,602.16/8,406.95 = 3,104.39/x
  3. Step 3: Cross multiply
    5,602.16x = 8,406.95 × 3,104.39
  4. Step 4: Simplify right side
    5,602.16x = 26,098,451.51
  5. Step 5: Solve for x
    x = 26,098,451.51/5,602.16
  6. Step 6: Final answer
    x = 4,658.64

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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.