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Finding the Fourth Proportional to 4,172.53, 5,758.09 and 2,405.16

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Solution

The fourth proportional to 4,172.53, 5,758.09 and 2,405.16 is: 3,319.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,172.53 : 5,758.09 = 2,405.16 : x
  2. Step 2: Convert to fraction form
    4,172.53/5,758.09 = 2,405.16/x
  3. Step 3: Cross multiply
    4,172.53x = 5,758.09 × 2,405.16
  4. Step 4: Simplify right side
    4,172.53x = 13,849,146.06
  5. Step 5: Solve for x
    x = 13,849,146.06/4,172.53
  6. Step 6: Final answer
    x = 3,319.12

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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.