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Finding the Fourth Proportional to 5,662.96, 8,541.60 and 4,978.16

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Solution

The fourth proportional to 5,662.96, 8,541.60 and 4,978.16 is: 7,508.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,662.96 : 8,541.60 = 4,978.16 : x
  2. Step 2: Convert to fraction form
    5,662.96/8,541.60 = 4,978.16/x
  3. Step 3: Cross multiply
    5,662.96x = 8,541.60 × 4,978.16
  4. Step 4: Simplify right side
    5,662.96x = 42,521,450.11
  5. Step 5: Solve for x
    x = 42,521,450.11/5,662.96
  6. Step 6: Final answer
    x = 7,508.69

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.