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Finding the Fourth Proportional to 5,339.66, 8,010.73 and 1,829.70

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Solution

The fourth proportional to 5,339.66, 8,010.73 and 1,829.70 is: 2,744.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,339.66 : 8,010.73 = 1,829.70 : x
  2. Step 2: Convert to fraction form
    5,339.66/8,010.73 = 1,829.70/x
  3. Step 3: Cross multiply
    5,339.66x = 8,010.73 × 1,829.70
  4. Step 4: Simplify right side
    5,339.66x = 14,657,228.11
  5. Step 5: Solve for x
    x = 14,657,228.11/5,339.66
  6. Step 6: Final answer
    x = 2,744.98

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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.