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Finding the Fourth Proportional to 5,178.60, 7,767.90 and 1,282.98

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Solution

The fourth proportional to 5,178.60, 7,767.90 and 1,282.98 is: 1,924.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,178.60 : 7,767.90 = 1,282.98 : x
  2. Step 2: Convert to fraction form
    5,178.60/7,767.90 = 1,282.98/x
  3. Step 3: Cross multiply
    5,178.60x = 7,767.90 × 1,282.98
  4. Step 4: Simplify right side
    5,178.60x = 9,966,060.34
  5. Step 5: Solve for x
    x = 9,966,060.34/5,178.60
  6. Step 6: Final answer
    x = 1,924.47

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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.