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Finding the Fourth Proportional to 5,283.90, 7,926.26 and 1,585.85

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Solution

The fourth proportional to 5,283.90, 7,926.26 and 1,585.85 is: 2,378.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,283.90 : 7,926.26 = 1,585.85 : x
  2. Step 2: Convert to fraction form
    5,283.90/7,926.26 = 1,585.85/x
  3. Step 3: Cross multiply
    5,283.90x = 7,926.26 × 1,585.85
  4. Step 4: Simplify right side
    5,283.90x = 12,569,811.86
  5. Step 5: Solve for x
    x = 12,569,811.86/5,283.90
  6. Step 6: Final answer
    x = 2,378.89

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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.