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Finding the Fourth Proportional to 5,798.36, 8,695.68 and 1,901.84

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Solution

The fourth proportional to 5,798.36, 8,695.68 and 1,901.84 is: 2,852.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798.36 : 8,695.68 = 1,901.84 : x
  2. Step 2: Convert to fraction form
    5,798.36/8,695.68 = 1,901.84/x
  3. Step 3: Cross multiply
    5,798.36x = 8,695.68 × 1,901.84
  4. Step 4: Simplify right side
    5,798.36x = 16,537,792.05
  5. Step 5: Solve for x
    x = 16,537,792.05/5,798.36
  6. Step 6: Final answer
    x = 2,852.15

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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.