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Finding the Fourth Proportional to 5,206.84, 7,818.15 and 5,038.56

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Solution

The fourth proportional to 5,206.84, 7,818.15 and 5,038.56 is: 7,565.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.84 : 7,818.15 = 5,038.56 : x
  2. Step 2: Convert to fraction form
    5,206.84/7,818.15 = 5,038.56/x
  3. Step 3: Cross multiply
    5,206.84x = 7,818.15 × 5,038.56
  4. Step 4: Simplify right side
    5,206.84x = 39,392,217.86
  5. Step 5: Solve for x
    x = 39,392,217.86/5,206.84
  6. Step 6: Final answer
    x = 7,565.48

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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.