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Finding the Fourth Proportional to 5,908.95, 8,856.54 and 4,746.20

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Solution

The fourth proportional to 5,908.95, 8,856.54 and 4,746.20 is: 7,113.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,908.95 : 8,856.54 = 4,746.20 : x
  2. Step 2: Convert to fraction form
    5,908.95/8,856.54 = 4,746.20/x
  3. Step 3: Cross multiply
    5,908.95x = 8,856.54 × 4,746.20
  4. Step 4: Simplify right side
    5,908.95x = 42,034,865.87
  5. Step 5: Solve for x
    x = 42,034,865.87/5,908.95
  6. Step 6: Final answer
    x = 7,113.76

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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.