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Finding the Fourth Proportional to 4,597.40, 6,898.50 and 4,349.56

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Solution

The fourth proportional to 4,597.40, 6,898.50 and 4,349.56 is: 6,526.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,597.40 : 6,898.50 = 4,349.56 : x
  2. Step 2: Convert to fraction form
    4,597.40/6,898.50 = 4,349.56/x
  3. Step 3: Cross multiply
    4,597.40x = 6,898.50 × 4,349.56
  4. Step 4: Simplify right side
    4,597.40x = 30,005,439.66
  5. Step 5: Solve for x
    x = 30,005,439.66/4,597.40
  6. Step 6: Final answer
    x = 6,526.61

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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.