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Finding the Fourth Proportional to 4,702.66, 7,057.23 and 1,624.66

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Solution

The fourth proportional to 4,702.66, 7,057.23 and 1,624.66 is: 2,438.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.66 : 7,057.23 = 1,624.66 : x
  2. Step 2: Convert to fraction form
    4,702.66/7,057.23 = 1,624.66/x
  3. Step 3: Cross multiply
    4,702.66x = 7,057.23 × 1,624.66
  4. Step 4: Simplify right side
    4,702.66x = 11,465,599.29
  5. Step 5: Solve for x
    x = 11,465,599.29/4,702.66
  6. Step 6: Final answer
    x = 2,438.11

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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.