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Finding the Fourth Proportional to 4,546.10, 6,802.95 and 3,152.90

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Solution

The fourth proportional to 4,546.10, 6,802.95 and 3,152.90 is: 4,718.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,546.10 : 6,802.95 = 3,152.90 : x
  2. Step 2: Convert to fraction form
    4,546.10/6,802.95 = 3,152.90/x
  3. Step 3: Cross multiply
    4,546.10x = 6,802.95 × 3,152.90
  4. Step 4: Simplify right side
    4,546.10x = 21,449,021.06
  5. Step 5: Solve for x
    x = 21,449,021.06/4,546.10
  6. Step 6: Final answer
    x = 4,718.11

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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.