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Finding the Fourth Proportional to 5,384.27, 7,430.40 and 2,994.44

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Solution

The fourth proportional to 5,384.27, 7,430.40 and 2,994.44 is: 4,132.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,384.27 : 7,430.40 = 2,994.44 : x
  2. Step 2: Convert to fraction form
    5,384.27/7,430.40 = 2,994.44/x
  3. Step 3: Cross multiply
    5,384.27x = 7,430.40 × 2,994.44
  4. Step 4: Simplify right side
    5,384.27x = 22,249,886.98
  5. Step 5: Solve for x
    x = 22,249,886.98/5,384.27
  6. Step 6: Final answer
    x = 4,132.39

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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.