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Finding the Fourth Proportional to 5,374.02, 7,416.48 and 3,578.42

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Solution

The fourth proportional to 5,374.02, 7,416.48 and 3,578.42 is: 4,938.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,374.02 : 7,416.48 = 3,578.42 : x
  2. Step 2: Convert to fraction form
    5,374.02/7,416.48 = 3,578.42/x
  3. Step 3: Cross multiply
    5,374.02x = 7,416.48 × 3,578.42
  4. Step 4: Simplify right side
    5,374.02x = 26,539,280.36
  5. Step 5: Solve for x
    x = 26,539,280.36/5,374.02
  6. Step 6: Final answer
    x = 4,938.44

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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.