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Finding the Fourth Proportional to 5,798.84, 8,698.57 and 1,639.17

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Solution

The fourth proportional to 5,798.84, 8,698.57 and 1,639.17 is: 2,458.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798.84 : 8,698.57 = 1,639.17 : x
  2. Step 2: Convert to fraction form
    5,798.84/8,698.57 = 1,639.17/x
  3. Step 3: Cross multiply
    5,798.84x = 8,698.57 × 1,639.17
  4. Step 4: Simplify right side
    5,798.84x = 14,258,430.89
  5. Step 5: Solve for x
    x = 14,258,430.89/5,798.84
  6. Step 6: Final answer
    x = 2,458.84

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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.