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Finding the Fourth Proportional to 5,813.76, 8,675.16 and 5,113.92

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Solution

The fourth proportional to 5,813.76, 8,675.16 and 5,113.92 is: 7,630.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,813.76 : 8,675.16 = 5,113.92 : x
  2. Step 2: Convert to fraction form
    5,813.76/8,675.16 = 5,113.92/x
  3. Step 3: Cross multiply
    5,813.76x = 8,675.16 × 5,113.92
  4. Step 4: Simplify right side
    5,813.76x = 44,364,074.23
  5. Step 5: Solve for x
    x = 44,364,074.23/5,813.76
  6. Step 6: Final answer
    x = 7,630.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.