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Finding the Fourth Proportional to 4,702.53, 6,484.46 and 2,933.67

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Solution

The fourth proportional to 4,702.53, 6,484.46 and 2,933.67 is: 4,045.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.53 : 6,484.46 = 2,933.67 : x
  2. Step 2: Convert to fraction form
    4,702.53/6,484.46 = 2,933.67/x
  3. Step 3: Cross multiply
    4,702.53x = 6,484.46 × 2,933.67
  4. Step 4: Simplify right side
    4,702.53x = 19,023,251.10
  5. Step 5: Solve for x
    x = 19,023,251.10/4,702.53
  6. Step 6: Final answer
    x = 4,045.32

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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.