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Finding the Fourth Proportional to 4,709.75, 6,501.20 and 4,043.93

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Solution

The fourth proportional to 4,709.75, 6,501.20 and 4,043.93 is: 5,582.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.75 : 6,501.20 = 4,043.93 : x
  2. Step 2: Convert to fraction form
    4,709.75/6,501.20 = 4,043.93/x
  3. Step 3: Cross multiply
    4,709.75x = 6,501.20 × 4,043.93
  4. Step 4: Simplify right side
    4,709.75x = 26,290,344.99
  5. Step 5: Solve for x
    x = 26,290,344.99/4,709.75
  6. Step 6: Final answer
    x = 5,582.12

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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.