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Finding the Fourth Proportional to 5,950.66, 8,931.51 and 3,031.15

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Solution

The fourth proportional to 5,950.66, 8,931.51 and 3,031.15 is: 4,549.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,950.66 : 8,931.51 = 3,031.15 : x
  2. Step 2: Convert to fraction form
    5,950.66/8,931.51 = 3,031.15/x
  3. Step 3: Cross multiply
    5,950.66x = 8,931.51 × 3,031.15
  4. Step 4: Simplify right side
    5,950.66x = 27,072,746.54
  5. Step 5: Solve for x
    x = 27,072,746.54/5,950.66
  6. Step 6: Final answer
    x = 4,549.54

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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.