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Finding the Fourth Proportional to 5,152.40, 7,102.57 and 4,031.40

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Solution

The fourth proportional to 5,152.40, 7,102.57 and 4,031.40 is: 5,557.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,152.40 : 7,102.57 = 4,031.40 : x
  2. Step 2: Convert to fraction form
    5,152.40/7,102.57 = 4,031.40/x
  3. Step 3: Cross multiply
    5,152.40x = 7,102.57 × 4,031.40
  4. Step 4: Simplify right side
    5,152.40x = 28,633,245.03
  5. Step 5: Solve for x
    x = 28,633,245.03/5,152.40
  6. Step 6: Final answer
    x = 5,557.26

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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.