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Finding the Fourth Proportional to 4,673.60, 6,444.96 and 3,625.28

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Solution

The fourth proportional to 4,673.60, 6,444.96 and 3,625.28 is: 4,999.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,673.60 : 6,444.96 = 3,625.28 : x
  2. Step 2: Convert to fraction form
    4,673.60/6,444.96 = 3,625.28/x
  3. Step 3: Cross multiply
    4,673.60x = 6,444.96 × 3,625.28
  4. Step 4: Simplify right side
    4,673.60x = 23,364,784.59
  5. Step 5: Solve for x
    x = 23,364,784.59/4,673.60
  6. Step 6: Final answer
    x = 4,999.31

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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.