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Finding the Fourth Proportional to 5,798.95, 8,698.38 and 2,101.17

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Solution

The fourth proportional to 5,798.95, 8,698.38 and 2,101.17 is: 3,151.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798.95 : 8,698.38 = 2,101.17 : x
  2. Step 2: Convert to fraction form
    5,798.95/8,698.38 = 2,101.17/x
  3. Step 3: Cross multiply
    5,798.95x = 8,698.38 × 2,101.17
  4. Step 4: Simplify right side
    5,798.95x = 18,276,775.10
  5. Step 5: Solve for x
    x = 18,276,775.10/5,798.95
  6. Step 6: Final answer
    x = 3,151.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.