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Finding the Fourth Proportional to 5,124.39, 7,071.90 and 3,000.57

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Solution

The fourth proportional to 5,124.39, 7,071.90 and 3,000.57 is: 4,140.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,124.39 : 7,071.90 = 3,000.57 : x
  2. Step 2: Convert to fraction form
    5,124.39/7,071.90 = 3,000.57/x
  3. Step 3: Cross multiply
    5,124.39x = 7,071.90 × 3,000.57
  4. Step 4: Simplify right side
    5,124.39x = 21,219,730.98
  5. Step 5: Solve for x
    x = 21,219,730.98/5,124.39
  6. Step 6: Final answer
    x = 4,140.93

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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.