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Finding the Fourth Proportional to 5,160.63, 7,733.65 and 2,565.39

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Solution

The fourth proportional to 5,160.63, 7,733.65 and 2,565.39 is: 3,844.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,160.63 : 7,733.65 = 2,565.39 : x
  2. Step 2: Convert to fraction form
    5,160.63/7,733.65 = 2,565.39/x
  3. Step 3: Cross multiply
    5,160.63x = 7,733.65 × 2,565.39
  4. Step 4: Simplify right side
    5,160.63x = 19,839,828.37
  5. Step 5: Solve for x
    x = 19,839,828.37/5,160.63
  6. Step 6: Final answer
    x = 3,844.46

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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.