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Finding the Fourth Proportional to 5,578.16, 8,365.26 and 4,013.46

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Solution

The fourth proportional to 5,578.16, 8,365.26 and 4,013.46 is: 6,018.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,578.16 : 8,365.26 = 4,013.46 : x
  2. Step 2: Convert to fraction form
    5,578.16/8,365.26 = 4,013.46/x
  3. Step 3: Cross multiply
    5,578.16x = 8,365.26 × 4,013.46
  4. Step 4: Simplify right side
    5,578.16x = 33,573,636.40
  5. Step 5: Solve for x
    x = 33,573,636.40/5,578.16
  6. Step 6: Final answer
    x = 6,018.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.