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Finding the Fourth Proportional to 5,928.16, 8,894.40 and 3,155.08

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Solution

The fourth proportional to 5,928.16, 8,894.40 and 3,155.08 is: 4,733.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,928.16 : 8,894.40 = 3,155.08 : x
  2. Step 2: Convert to fraction form
    5,928.16/8,894.40 = 3,155.08/x
  3. Step 3: Cross multiply
    5,928.16x = 8,894.40 × 3,155.08
  4. Step 4: Simplify right side
    5,928.16x = 28,062,543.55
  5. Step 5: Solve for x
    x = 28,062,543.55/5,928.16
  6. Step 6: Final answer
    x = 4,733.77

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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.