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Finding the Fourth Proportional to 4,678.53, 6,455.79 and 2,582.64

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Solution

The fourth proportional to 4,678.53, 6,455.79 and 2,582.64 is: 3,563.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,678.53 : 6,455.79 = 2,582.64 : x
  2. Step 2: Convert to fraction form
    4,678.53/6,455.79 = 2,582.64/x
  3. Step 3: Cross multiply
    4,678.53x = 6,455.79 × 2,582.64
  4. Step 4: Simplify right side
    4,678.53x = 16,672,981.49
  5. Step 5: Solve for x
    x = 16,672,981.49/4,678.53
  6. Step 6: Final answer
    x = 3,563.72

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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.