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Finding the Fourth Proportional to 4,684.65, 6,451.70 and 4,582.59

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Solution

The fourth proportional to 4,684.65, 6,451.70 and 4,582.59 is: 6,311.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,684.65 : 6,451.70 = 4,582.59 : x
  2. Step 2: Convert to fraction form
    4,684.65/6,451.70 = 4,582.59/x
  3. Step 3: Cross multiply
    4,684.65x = 6,451.70 × 4,582.59
  4. Step 4: Simplify right side
    4,684.65x = 29,565,472.99
  5. Step 5: Solve for x
    x = 29,565,472.99/4,684.65
  6. Step 6: Final answer
    x = 6,311.14

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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.