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Finding the Fourth Proportional to 3,870.45, 5,807.70 and 1,681.02

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Solution

The fourth proportional to 3,870.45, 5,807.70 and 1,681.02 is: 2,522.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870.45 : 5,807.70 = 1,681.02 : x
  2. Step 2: Convert to fraction form
    3,870.45/5,807.70 = 1,681.02/x
  3. Step 3: Cross multiply
    3,870.45x = 5,807.70 × 1,681.02
  4. Step 4: Simplify right side
    3,870.45x = 9,762,859.85
  5. Step 5: Solve for x
    x = 9,762,859.85/3,870.45
  6. Step 6: Final answer
    x = 2,522.41

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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.