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Finding the Fourth Proportional to 5,058.16, 7,582.38 and 3,736.24

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Solution

The fourth proportional to 5,058.16, 7,582.38 and 3,736.24 is: 5,600.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,058.16 : 7,582.38 = 3,736.24 : x
  2. Step 2: Convert to fraction form
    5,058.16/7,582.38 = 3,736.24/x
  3. Step 3: Cross multiply
    5,058.16x = 7,582.38 × 3,736.24
  4. Step 4: Simplify right side
    5,058.16x = 28,329,591.45
  5. Step 5: Solve for x
    x = 28,329,591.45/5,058.16
  6. Step 6: Final answer
    x = 5,600.77

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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.