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Finding the Fourth Proportional to 4,562.60, 6,837.70 and 1,927.93

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Solution

The fourth proportional to 4,562.60, 6,837.70 and 1,927.93 is: 2,889.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,562.60 : 6,837.70 = 1,927.93 : x
  2. Step 2: Convert to fraction form
    4,562.60/6,837.70 = 1,927.93/x
  3. Step 3: Cross multiply
    4,562.60x = 6,837.70 × 1,927.93
  4. Step 4: Simplify right side
    4,562.60x = 13,182,563.13
  5. Step 5: Solve for x
    x = 13,182,563.13/4,562.60
  6. Step 6: Final answer
    x = 2,889.27

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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.