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Finding the Fourth Proportional to 4,671.68, 7,012.80 and 3,200.32

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Solution

The fourth proportional to 4,671.68, 7,012.80 and 3,200.32 is: 4,804.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,671.68 : 7,012.80 = 3,200.32 : x
  2. Step 2: Convert to fraction form
    4,671.68/7,012.80 = 3,200.32/x
  3. Step 3: Cross multiply
    4,671.68x = 7,012.80 × 3,200.32
  4. Step 4: Simplify right side
    4,671.68x = 22,443,204.10
  5. Step 5: Solve for x
    x = 22,443,204.10/4,671.68
  6. Step 6: Final answer
    x = 4,804.10

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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.