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Finding the Fourth Proportional to 4,665.63, 6,438.65 and 2,569.76

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Solution

The fourth proportional to 4,665.63, 6,438.65 and 2,569.76 is: 3,546.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,665.63 : 6,438.65 = 2,569.76 : x
  2. Step 2: Convert to fraction form
    4,665.63/6,438.65 = 2,569.76/x
  3. Step 3: Cross multiply
    4,665.63x = 6,438.65 × 2,569.76
  4. Step 4: Simplify right side
    4,665.63x = 16,545,740.18
  5. Step 5: Solve for x
    x = 16,545,740.18/4,665.63
  6. Step 6: Final answer
    x = 3,546.30

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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.