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Finding the Fourth Proportional to 4,697.53, 6,469.46 and 4,595.47

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Solution

The fourth proportional to 4,697.53, 6,469.46 and 4,595.47 is: 6,328.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,697.53 : 6,469.46 = 4,595.47 : x
  2. Step 2: Convert to fraction form
    4,697.53/6,469.46 = 4,595.47/x
  3. Step 3: Cross multiply
    4,697.53x = 6,469.46 × 4,595.47
  4. Step 4: Simplify right side
    4,697.53x = 29,730,188.49
  5. Step 5: Solve for x
    x = 29,730,188.49/4,697.53
  6. Step 6: Final answer
    x = 6,328.90

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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.