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Finding the Fourth Proportional to 3,913.89, 5,870.21 and 1,281.37

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Solution

The fourth proportional to 3,913.89, 5,870.21 and 1,281.37 is: 1,921.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,913.89 : 5,870.21 = 1,281.37 : x
  2. Step 2: Convert to fraction form
    3,913.89/5,870.21 = 1,281.37/x
  3. Step 3: Cross multiply
    3,913.89x = 5,870.21 × 1,281.37
  4. Step 4: Simplify right side
    3,913.89x = 7,521,875.23
  5. Step 5: Solve for x
    x = 7,521,875.23/3,913.89
  6. Step 6: Final answer
    x = 1,921.84

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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.