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Finding the Fourth Proportional to 4,827.92, 7,237.77 and 4,598.28

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Solution

The fourth proportional to 4,827.92, 7,237.77 and 4,598.28 is: 6,893.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,827.92 : 7,237.77 = 4,598.28 : x
  2. Step 2: Convert to fraction form
    4,827.92/7,237.77 = 4,598.28/x
  3. Step 3: Cross multiply
    4,827.92x = 7,237.77 × 4,598.28
  4. Step 4: Simplify right side
    4,827.92x = 33,281,293.04
  5. Step 5: Solve for x
    x = 33,281,293.04/4,827.92
  6. Step 6: Final answer
    x = 6,893.51

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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.