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Finding the Fourth Proportional to 5,604, 8,390.13 and 2,965.51

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Solution

The fourth proportional to 5,604, 8,390.13 and 2,965.51 is: 4,439.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,604 : 8,390.13 = 2,965.51 : x
  2. Step 2: Convert to fraction form
    5,604/8,390.13 = 2,965.51/x
  3. Step 3: Cross multiply
    5,604x = 8,390.13 × 2,965.51
  4. Step 4: Simplify right side
    5,604x = 24,881,014.42
  5. Step 5: Solve for x
    x = 24,881,014.42/5,604
  6. Step 6: Final answer
    x = 4,439.87

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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.