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Finding the Fourth Proportional to 4,665.51, 6,441.07 and 3,076.77

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Solution

The fourth proportional to 4,665.51, 6,441.07 and 3,076.77 is: 4,247.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,665.51 : 6,441.07 = 3,076.77 : x
  2. Step 2: Convert to fraction form
    4,665.51/6,441.07 = 3,076.77/x
  3. Step 3: Cross multiply
    4,665.51x = 6,441.07 × 3,076.77
  4. Step 4: Simplify right side
    4,665.51x = 19,817,690.94
  5. Step 5: Solve for x
    x = 19,817,690.94/4,665.51
  6. Step 6: Final answer
    x = 4,247.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.