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Finding the Fourth Proportional to 5,798.06, 7,998.98 and 3,701.78

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Solution

The fourth proportional to 5,798.06, 7,998.98 and 3,701.78 is: 5,106.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798.06 : 7,998.98 = 3,701.78 : x
  2. Step 2: Convert to fraction form
    5,798.06/7,998.98 = 3,701.78/x
  3. Step 3: Cross multiply
    5,798.06x = 7,998.98 × 3,701.78
  4. Step 4: Simplify right side
    5,798.06x = 29,610,464.18
  5. Step 5: Solve for x
    x = 29,610,464.18/5,798.06
  6. Step 6: Final answer
    x = 5,106.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.