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Finding the Fourth Proportional to 4,291.88, 6,437.14 and 1,172.14

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Solution

The fourth proportional to 4,291.88, 6,437.14 and 1,172.14 is: 1,758.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,291.88 : 6,437.14 = 1,172.14 : x
  2. Step 2: Convert to fraction form
    4,291.88/6,437.14 = 1,172.14/x
  3. Step 3: Cross multiply
    4,291.88x = 6,437.14 × 1,172.14
  4. Step 4: Simplify right side
    4,291.88x = 7,545,210.26
  5. Step 5: Solve for x
    x = 7,545,210.26/4,291.88
  6. Step 6: Final answer
    x = 1,758.02

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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.