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Finding the Fourth Proportional to 5,824.62, 8,034.30 and 3,465

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Solution

The fourth proportional to 5,824.62, 8,034.30 and 3,465 is: 4,779.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,824.62 : 8,034.30 = 3,465 : x
  2. Step 2: Convert to fraction form
    5,824.62/8,034.30 = 3,465/x
  3. Step 3: Cross multiply
    5,824.62x = 8,034.30 × 3,465
  4. Step 4: Simplify right side
    5,824.62x = 27,838,849.50
  5. Step 5: Solve for x
    x = 27,838,849.50/5,824.62
  6. Step 6: Final answer
    x = 4,779.51

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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.