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Finding the Fourth Proportional to 5,061.84, 6,986.64 and 4,563.60

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Solution

The fourth proportional to 5,061.84, 6,986.64 and 4,563.60 is: 6,298.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,061.84 : 6,986.64 = 4,563.60 : x
  2. Step 2: Convert to fraction form
    5,061.84/6,986.64 = 4,563.60/x
  3. Step 3: Cross multiply
    5,061.84x = 6,986.64 × 4,563.60
  4. Step 4: Simplify right side
    5,061.84x = 31,884,230.30
  5. Step 5: Solve for x
    x = 31,884,230.30/5,061.84
  6. Step 6: Final answer
    x = 6,298.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.