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Finding the Fourth Proportional to 2,572.36, 3,548.05 and 1,578.12

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Solution

The fourth proportional to 2,572.36, 3,548.05 and 1,578.12 is: 2,176.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.36 : 3,548.05 = 1,578.12 : x
  2. Step 2: Convert to fraction form
    2,572.36/3,548.05 = 1,578.12/x
  3. Step 3: Cross multiply
    2,572.36x = 3,548.05 × 1,578.12
  4. Step 4: Simplify right side
    2,572.36x = 5,599,248.67
  5. Step 5: Solve for x
    x = 5,599,248.67/2,572.36
  6. Step 6: Final answer
    x = 2,176.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.