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Finding the Fourth Proportional to 3,156.86, 4,733.40 and 1,306.89

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Solution

The fourth proportional to 3,156.86, 4,733.40 and 1,306.89 is: 1,959.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,156.86 : 4,733.40 = 1,306.89 : x
  2. Step 2: Convert to fraction form
    3,156.86/4,733.40 = 1,306.89/x
  3. Step 3: Cross multiply
    3,156.86x = 4,733.40 × 1,306.89
  4. Step 4: Simplify right side
    3,156.86x = 6,186,038.03
  5. Step 5: Solve for x
    x = 6,186,038.03/3,156.86
  6. Step 6: Final answer
    x = 1,959.55

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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.