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Finding the Fourth Proportional to 3,613.70, 5,417.54 and 1,535.30

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Solution

The fourth proportional to 3,613.70, 5,417.54 and 1,535.30 is: 2,301.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,613.70 : 5,417.54 = 1,535.30 : x
  2. Step 2: Convert to fraction form
    3,613.70/5,417.54 = 1,535.30/x
  3. Step 3: Cross multiply
    3,613.70x = 5,417.54 × 1,535.30
  4. Step 4: Simplify right side
    3,613.70x = 8,317,549.16
  5. Step 5: Solve for x
    x = 8,317,549.16/3,613.70
  6. Step 6: Final answer
    x = 2,301.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.