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Finding the Fourth Proportional to 5,374.72, 7,417.02 and 2,984.68

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Solution

The fourth proportional to 5,374.72, 7,417.02 and 2,984.68 is: 4,118.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,374.72 : 7,417.02 = 2,984.68 : x
  2. Step 2: Convert to fraction form
    5,374.72/7,417.02 = 2,984.68/x
  3. Step 3: Cross multiply
    5,374.72x = 7,417.02 × 2,984.68
  4. Step 4: Simplify right side
    5,374.72x = 22,137,431.25
  5. Step 5: Solve for x
    x = 22,137,431.25/5,374.72
  6. Step 6: Final answer
    x = 4,118.81

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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.