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Finding the Fourth Proportional to 5,164.59, 7,744.46 and 1,875.39

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Solution

The fourth proportional to 5,164.59, 7,744.46 and 1,875.39 is: 2,812.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164.59 : 7,744.46 = 1,875.39 : x
  2. Step 2: Convert to fraction form
    5,164.59/7,744.46 = 1,875.39/x
  3. Step 3: Cross multiply
    5,164.59x = 7,744.46 × 1,875.39
  4. Step 4: Simplify right side
    5,164.59x = 14,523,873.46
  5. Step 5: Solve for x
    x = 14,523,873.46/5,164.59
  6. Step 6: Final answer
    x = 2,812.20

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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.