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Finding the Fourth Proportional to 5,719.08, 8,565.64 and 5,142.36

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Solution

The fourth proportional to 5,719.08, 8,565.64 and 5,142.36 is: 7,701.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,719.08 : 8,565.64 = 5,142.36 : x
  2. Step 2: Convert to fraction form
    5,719.08/8,565.64 = 5,142.36/x
  3. Step 3: Cross multiply
    5,719.08x = 8,565.64 × 5,142.36
  4. Step 4: Simplify right side
    5,719.08x = 44,047,604.51
  5. Step 5: Solve for x
    x = 44,047,604.51/5,719.08
  6. Step 6: Final answer
    x = 7,701.87

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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.