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Finding the Fourth Proportional to 4,702.99, 7,045.32 and 2,234.41

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Solution

The fourth proportional to 4,702.99, 7,045.32 and 2,234.41 is: 3,347.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.99 : 7,045.32 = 2,234.41 : x
  2. Step 2: Convert to fraction form
    4,702.99/7,045.32 = 2,234.41/x
  3. Step 3: Cross multiply
    4,702.99x = 7,045.32 × 2,234.41
  4. Step 4: Simplify right side
    4,702.99x = 15,742,098.23
  5. Step 5: Solve for x
    x = 15,742,098.23/4,702.99
  6. Step 6: Final answer
    x = 3,347.26

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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.