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Finding the Fourth Proportional to 3,775.40, 5,653.53 and 3,157.57

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Solution

The fourth proportional to 3,775.40, 5,653.53 and 3,157.57 is: 4,728.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.40 : 5,653.53 = 3,157.57 : x
  2. Step 2: Convert to fraction form
    3,775.40/5,653.53 = 3,157.57/x
  3. Step 3: Cross multiply
    3,775.40x = 5,653.53 × 3,157.57
  4. Step 4: Simplify right side
    3,775.40x = 17,851,416.72
  5. Step 5: Solve for x
    x = 17,851,416.72/3,775.40
  6. Step 6: Final answer
    x = 4,728.35

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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.