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Finding the Fourth Proportional to 3,578.48, 5,368.57 and 1,497.32

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Solution

The fourth proportional to 3,578.48, 5,368.57 and 1,497.32 is: 2,246.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,578.48 : 5,368.57 = 1,497.32 : x
  2. Step 2: Convert to fraction form
    3,578.48/5,368.57 = 1,497.32/x
  3. Step 3: Cross multiply
    3,578.48x = 5,368.57 × 1,497.32
  4. Step 4: Simplify right side
    3,578.48x = 8,038,467.23
  5. Step 5: Solve for x
    x = 8,038,467.23/3,578.48
  6. Step 6: Final answer
    x = 2,246.34

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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.