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Finding the Fourth Proportional to 5,102.89, 7,041.80 and 2,864.86

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Solution

The fourth proportional to 5,102.89, 7,041.80 and 2,864.86 is: 3,953.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.89 : 7,041.80 = 2,864.86 : x
  2. Step 2: Convert to fraction form
    5,102.89/7,041.80 = 2,864.86/x
  3. Step 3: Cross multiply
    5,102.89x = 7,041.80 × 2,864.86
  4. Step 4: Simplify right side
    5,102.89x = 20,173,760.71
  5. Step 5: Solve for x
    x = 20,173,760.71/5,102.89
  6. Step 6: Final answer
    x = 3,953.40

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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.