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Finding the Fourth Proportional to 5,458.08, 7,526.50 and 3,864

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Solution

The fourth proportional to 5,458.08, 7,526.50 and 3,864 is: 5,328.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,458.08 : 7,526.50 = 3,864 : x
  2. Step 2: Convert to fraction form
    5,458.08/7,526.50 = 3,864/x
  3. Step 3: Cross multiply
    5,458.08x = 7,526.50 × 3,864
  4. Step 4: Simplify right side
    5,458.08x = 29,082,396
  5. Step 5: Solve for x
    x = 29,082,396/5,458.08
  6. Step 6: Final answer
    x = 5,328.32

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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.