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Finding the Fourth Proportional to 5,178.47, 7,766.89 and 1,715.72

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Solution

The fourth proportional to 5,178.47, 7,766.89 and 1,715.72 is: 2,573.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,178.47 : 7,766.89 = 1,715.72 : x
  2. Step 2: Convert to fraction form
    5,178.47/7,766.89 = 1,715.72/x
  3. Step 3: Cross multiply
    5,178.47x = 7,766.89 × 1,715.72
  4. Step 4: Simplify right side
    5,178.47x = 13,325,808.51
  5. Step 5: Solve for x
    x = 13,325,808.51/5,178.47
  6. Step 6: Final answer
    x = 2,573.31

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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.