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Finding the Fourth Proportional to 5,798, 8,698.08 and 1,901.54

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Solution

The fourth proportional to 5,798, 8,698.08 and 1,901.54 is: 2,852.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798 : 8,698.08 = 1,901.54 : x
  2. Step 2: Convert to fraction form
    5,798/8,698.08 = 1,901.54/x
  3. Step 3: Cross multiply
    5,798x = 8,698.08 × 1,901.54
  4. Step 4: Simplify right side
    5,798x = 16,539,747.04
  5. Step 5: Solve for x
    x = 16,539,747.04/5,798
  6. Step 6: Final answer
    x = 2,852.66

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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.