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Finding the Fourth Proportional to 4,237.56, 6,357.54 and 2,291.16

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Solution

The fourth proportional to 4,237.56, 6,357.54 and 2,291.16 is: 3,437.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,237.56 : 6,357.54 = 2,291.16 : x
  2. Step 2: Convert to fraction form
    4,237.56/6,357.54 = 2,291.16/x
  3. Step 3: Cross multiply
    4,237.56x = 6,357.54 × 2,291.16
  4. Step 4: Simplify right side
    4,237.56x = 14,566,141.35
  5. Step 5: Solve for x
    x = 14,566,141.35/4,237.56
  6. Step 6: Final answer
    x = 3,437.39

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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.