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Finding the Fourth Proportional to 3,465.52, 5,164.84 and 3,460.04

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Solution

The fourth proportional to 3,465.52, 5,164.84 and 3,460.04 is: 5,156.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,465.52 : 5,164.84 = 3,460.04 : x
  2. Step 2: Convert to fraction form
    3,465.52/5,164.84 = 3,460.04/x
  3. Step 3: Cross multiply
    3,465.52x = 5,164.84 × 3,460.04
  4. Step 4: Simplify right side
    3,465.52x = 17,870,552.99
  5. Step 5: Solve for x
    x = 17,870,552.99/3,465.52
  6. Step 6: Final answer
    x = 5,156.67

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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.