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Finding the Fourth Proportional to 4,588.76, 6,329.67 and 4,000.70

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Solution

The fourth proportional to 4,588.76, 6,329.67 and 4,000.70 is: 5,518.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,588.76 : 6,329.67 = 4,000.70 : x
  2. Step 2: Convert to fraction form
    4,588.76/6,329.67 = 4,000.70/x
  3. Step 3: Cross multiply
    4,588.76x = 6,329.67 × 4,000.70
  4. Step 4: Simplify right side
    4,588.76x = 25,323,110.77
  5. Step 5: Solve for x
    x = 25,323,110.77/4,588.76
  6. Step 6: Final answer
    x = 5,518.51

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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.