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Finding the Fourth Proportional to 5,051.84, 7,572.12 and 3,815.24

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Solution

The fourth proportional to 5,051.84, 7,572.12 and 3,815.24 is: 5,718.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,051.84 : 7,572.12 = 3,815.24 : x
  2. Step 2: Convert to fraction form
    5,051.84/7,572.12 = 3,815.24/x
  3. Step 3: Cross multiply
    5,051.84x = 7,572.12 × 3,815.24
  4. Step 4: Simplify right side
    5,051.84x = 28,889,455.11
  5. Step 5: Solve for x
    x = 28,889,455.11/5,051.84
  6. Step 6: Final answer
    x = 5,718.60

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Why These Related Problems?

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