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Finding the Fourth Proportional to 4,782.98, 6,598.66 and 3,527.00

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Solution

The fourth proportional to 4,782.98, 6,598.66 and 3,527.00 is: 4,865.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,782.98 : 6,598.66 = 3,527.00 : x
  2. Step 2: Convert to fraction form
    4,782.98/6,598.66 = 3,527.00/x
  3. Step 3: Cross multiply
    4,782.98x = 6,598.66 × 3,527.00
  4. Step 4: Simplify right side
    4,782.98x = 23,273,481.50
  5. Step 5: Solve for x
    x = 23,273,481.50/4,782.98
  6. Step 6: Final answer
    x = 4,865.90

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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.