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Finding the Fourth Proportional to 3,531.56, 4,875.51 and 3,157.64

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Solution

The fourth proportional to 3,531.56, 4,875.51 and 3,157.64 is: 4,359.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,531.56 : 4,875.51 = 3,157.64 : x
  2. Step 2: Convert to fraction form
    3,531.56/4,875.51 = 3,157.64/x
  3. Step 3: Cross multiply
    3,531.56x = 4,875.51 × 3,157.64
  4. Step 4: Simplify right side
    3,531.56x = 15,395,081.02
  5. Step 5: Solve for x
    x = 15,395,081.02/3,531.56
  6. Step 6: Final answer
    x = 4,359.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.