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Finding the Fourth Proportional to 4,237.90, 6,357.03 and 1,316.14

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Solution

The fourth proportional to 4,237.90, 6,357.03 and 1,316.14 is: 1,974.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,237.90 : 6,357.03 = 1,316.14 : x
  2. Step 2: Convert to fraction form
    4,237.90/6,357.03 = 1,316.14/x
  3. Step 3: Cross multiply
    4,237.90x = 6,357.03 × 1,316.14
  4. Step 4: Simplify right side
    4,237.90x = 8,366,741.46
  5. Step 5: Solve for x
    x = 8,366,741.46/4,237.90
  6. Step 6: Final answer
    x = 1,974.27

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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.