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Finding the Fourth Proportional to 5,207.10, 7,812.22 and 4,655.78

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Solution

The fourth proportional to 5,207.10, 7,812.22 and 4,655.78 is: 6,985.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,207.10 : 7,812.22 = 4,655.78 : x
  2. Step 2: Convert to fraction form
    5,207.10/7,812.22 = 4,655.78/x
  3. Step 3: Cross multiply
    5,207.10x = 7,812.22 × 4,655.78
  4. Step 4: Simplify right side
    5,207.10x = 36,371,977.63
  5. Step 5: Solve for x
    x = 36,371,977.63/5,207.10
  6. Step 6: Final answer
    x = 6,985.07

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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.