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Finding the Fourth Proportional to 4,272.52, 6,409.88 and 1,461.32

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Solution

The fourth proportional to 4,272.52, 6,409.88 and 1,461.32 is: 2,192.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,272.52 : 6,409.88 = 1,461.32 : x
  2. Step 2: Convert to fraction form
    4,272.52/6,409.88 = 1,461.32/x
  3. Step 3: Cross multiply
    4,272.52x = 6,409.88 × 1,461.32
  4. Step 4: Simplify right side
    4,272.52x = 9,366,885.84
  5. Step 5: Solve for x
    x = 9,366,885.84/4,272.52
  6. Step 6: Final answer
    x = 2,192.36

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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.