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Finding the Fourth Proportional to 5,730.66, 8,597.07 and 4,083.12

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Solution

The fourth proportional to 5,730.66, 8,597.07 and 4,083.12 is: 6,125.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,730.66 : 8,597.07 = 4,083.12 : x
  2. Step 2: Convert to fraction form
    5,730.66/8,597.07 = 4,083.12/x
  3. Step 3: Cross multiply
    5,730.66x = 8,597.07 × 4,083.12
  4. Step 4: Simplify right side
    5,730.66x = 35,102,868.46
  5. Step 5: Solve for x
    x = 35,102,868.46/5,730.66
  6. Step 6: Final answer
    x = 6,125.45

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1.5x scale

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.