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Finding the Fourth Proportional to 5,152.26, 7,112.88 and 4,030.82

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Solution

The fourth proportional to 5,152.26, 7,112.88 and 4,030.82 is: 5,564.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,152.26 : 7,112.88 = 4,030.82 : x
  2. Step 2: Convert to fraction form
    5,152.26/7,112.88 = 4,030.82/x
  3. Step 3: Cross multiply
    5,152.26x = 7,112.88 × 4,030.82
  4. Step 4: Simplify right side
    5,152.26x = 28,670,683.24
  5. Step 5: Solve for x
    x = 28,670,683.24/5,152.26
  6. Step 6: Final answer
    x = 5,564.68

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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.