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Finding the Fourth Proportional to 3,232.60, 4,538.60 and 3,232.60

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Solution

The fourth proportional to 3,232.60, 4,538.60 and 3,232.60 is: 4,538.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,232.60 : 4,538.60 = 3,232.60 : x
  2. Step 2: Convert to fraction form
    3,232.60/4,538.60 = 3,232.60/x
  3. Step 3: Cross multiply
    3,232.60x = 4,538.60 × 3,232.60
  4. Step 4: Simplify right side
    3,232.60x = 14,671,478.36
  5. Step 5: Solve for x
    x = 14,671,478.36/3,232.60
  6. Step 6: Final answer
    x = 4,538.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.