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Finding the Fourth Proportional to 4,564.04, 6,813.05 and 4,010.46

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Solution

The fourth proportional to 4,564.04, 6,813.05 and 4,010.46 is: 5,986.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,564.04 : 6,813.05 = 4,010.46 : x
  2. Step 2: Convert to fraction form
    4,564.04/6,813.05 = 4,010.46/x
  3. Step 3: Cross multiply
    4,564.04x = 6,813.05 × 4,010.46
  4. Step 4: Simplify right side
    4,564.04x = 27,323,426.42
  5. Step 5: Solve for x
    x = 27,323,426.42/4,564.04
  6. Step 6: Final answer
    x = 5,986.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.