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Finding the Fourth Proportional to 5,902.88, 8,848.24 and 2,784.58

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Solution

The fourth proportional to 5,902.88, 8,848.24 and 2,784.58 is: 4,174.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,902.88 : 8,848.24 = 2,784.58 : x
  2. Step 2: Convert to fraction form
    5,902.88/8,848.24 = 2,784.58/x
  3. Step 3: Cross multiply
    5,902.88x = 8,848.24 × 2,784.58
  4. Step 4: Simplify right side
    5,902.88x = 24,638,603.06
  5. Step 5: Solve for x
    x = 24,638,603.06/5,902.88
  6. Step 6: Final answer
    x = 4,174.00

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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.