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Finding the Fourth Proportional to 4,725.64, 7,086.96 and 1,802.32

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Solution

The fourth proportional to 4,725.64, 7,086.96 and 1,802.32 is: 2,702.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,725.64 : 7,086.96 = 1,802.32 : x
  2. Step 2: Convert to fraction form
    4,725.64/7,086.96 = 1,802.32/x
  3. Step 3: Cross multiply
    4,725.64x = 7,086.96 × 1,802.32
  4. Step 4: Simplify right side
    4,725.64x = 12,772,969.75
  5. Step 5: Solve for x
    x = 12,772,969.75/4,725.64
  6. Step 6: Final answer
    x = 2,702.91

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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.