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Finding the Fourth Proportional to 3,157.60, 4,357.80 and 2,359.54

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Solution

The fourth proportional to 3,157.60, 4,357.80 and 2,359.54 is: 3,256.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,157.60 : 4,357.80 = 2,359.54 : x
  2. Step 2: Convert to fraction form
    3,157.60/4,357.80 = 2,359.54/x
  3. Step 3: Cross multiply
    3,157.60x = 4,357.80 × 2,359.54
  4. Step 4: Simplify right side
    3,157.60x = 10,282,403.41
  5. Step 5: Solve for x
    x = 10,282,403.41/3,157.60
  6. Step 6: Final answer
    x = 3,256.40

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Why These Related Problems?

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