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Finding the Fourth Proportional to 5,043.96, 7,564.32 and 1,665.99

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Solution

The fourth proportional to 5,043.96, 7,564.32 and 1,665.99 is: 2,498.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,043.96 : 7,564.32 = 1,665.99 : x
  2. Step 2: Convert to fraction form
    5,043.96/7,564.32 = 1,665.99/x
  3. Step 3: Cross multiply
    5,043.96x = 7,564.32 × 1,665.99
  4. Step 4: Simplify right side
    5,043.96x = 12,602,081.48
  5. Step 5: Solve for x
    x = 12,602,081.48/5,043.96
  6. Step 6: Final answer
    x = 2,498.45

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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.