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Finding the Fourth Proportional to 3,665.47, 5,065.05 and 2,669.01

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Solution

The fourth proportional to 3,665.47, 5,065.05 and 2,669.01 is: 3,688.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,665.47 : 5,065.05 = 2,669.01 : x
  2. Step 2: Convert to fraction form
    3,665.47/5,065.05 = 2,669.01/x
  3. Step 3: Cross multiply
    3,665.47x = 5,065.05 × 2,669.01
  4. Step 4: Simplify right side
    3,665.47x = 13,518,669.10
  5. Step 5: Solve for x
    x = 13,518,669.10/3,665.47
  6. Step 6: Final answer
    x = 3,688.11

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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.