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Finding the Fourth Proportional to 4,678.49, 6,455.88 and 2,661.86

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Solution

The fourth proportional to 4,678.49, 6,455.88 and 2,661.86 is: 3,673.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,678.49 : 6,455.88 = 2,661.86 : x
  2. Step 2: Convert to fraction form
    4,678.49/6,455.88 = 2,661.86/x
  3. Step 3: Cross multiply
    4,678.49x = 6,455.88 × 2,661.86
  4. Step 4: Simplify right side
    4,678.49x = 17,184,616.46
  5. Step 5: Solve for x
    x = 17,184,616.46/4,678.49
  6. Step 6: Final answer
    x = 3,673.12

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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.