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Finding the Fourth Proportional to 4,574.59, 6,313.97 and 2,586.30

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Solution

The fourth proportional to 4,574.59, 6,313.97 and 2,586.30 is: 3,569.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,574.59 : 6,313.97 = 2,586.30 : x
  2. Step 2: Convert to fraction form
    4,574.59/6,313.97 = 2,586.30/x
  3. Step 3: Cross multiply
    4,574.59x = 6,313.97 × 2,586.30
  4. Step 4: Simplify right side
    4,574.59x = 16,329,776.11
  5. Step 5: Solve for x
    x = 16,329,776.11/4,574.59
  6. Step 6: Final answer
    x = 3,569.67

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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.