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Finding the Fourth Proportional to 3,915.66, 5,870.10 and 3,698.22

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Solution

The fourth proportional to 3,915.66, 5,870.10 and 3,698.22 is: 5,544.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,915.66 : 5,870.10 = 3,698.22 : x
  2. Step 2: Convert to fraction form
    3,915.66/5,870.10 = 3,698.22/x
  3. Step 3: Cross multiply
    3,915.66x = 5,870.10 × 3,698.22
  4. Step 4: Simplify right side
    3,915.66x = 21,708,921.22
  5. Step 5: Solve for x
    x = 21,708,921.22/3,915.66
  6. Step 6: Final answer
    x = 5,544.13

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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.