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Finding the Fourth Proportional to 4,702.46, 7,049 and 2,355.30

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Solution

The fourth proportional to 4,702.46, 7,049 and 2,355.30 is: 3,530.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.46 : 7,049 = 2,355.30 : x
  2. Step 2: Convert to fraction form
    4,702.46/7,049 = 2,355.30/x
  3. Step 3: Cross multiply
    4,702.46x = 7,049 × 2,355.30
  4. Step 4: Simplify right side
    4,702.46x = 16,602,509.70
  5. Step 5: Solve for x
    x = 16,602,509.70/4,702.46
  6. Step 6: Final answer
    x = 3,530.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.