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Finding the Fourth Proportional to 6,581.66, 9,082.53 and 3,597.50

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Solution

The fourth proportional to 6,581.66, 9,082.53 and 3,597.50 is: 4,964.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,581.66 : 9,082.53 = 3,597.50 : x
  2. Step 2: Convert to fraction form
    6,581.66/9,082.53 = 3,597.50/x
  3. Step 3: Cross multiply
    6,581.66x = 9,082.53 × 3,597.50
  4. Step 4: Simplify right side
    6,581.66x = 32,674,356.26
  5. Step 5: Solve for x
    x = 32,674,356.26/6,581.66
  6. Step 6: Final answer
    x = 4,964.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.