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Finding the Fourth Proportional to 5,370.40, 7,411.15 and 3,012.55

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Solution

The fourth proportional to 5,370.40, 7,411.15 and 3,012.55 is: 4,157.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,370.40 : 7,411.15 = 3,012.55 : x
  2. Step 2: Convert to fraction form
    5,370.40/7,411.15 = 3,012.55/x
  3. Step 3: Cross multiply
    5,370.40x = 7,411.15 × 3,012.55
  4. Step 4: Simplify right side
    5,370.40x = 22,326,459.93
  5. Step 5: Solve for x
    x = 22,326,459.93/5,370.40
  6. Step 6: Final answer
    x = 4,157.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.