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Finding the Fourth Proportional to 4,702.50, 7,046.42 and 1,779.22

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Solution

The fourth proportional to 4,702.50, 7,046.42 and 1,779.22 is: 2,666.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.50 : 7,046.42 = 1,779.22 : x
  2. Step 2: Convert to fraction form
    4,702.50/7,046.42 = 1,779.22/x
  3. Step 3: Cross multiply
    4,702.50x = 7,046.42 × 1,779.22
  4. Step 4: Simplify right side
    4,702.50x = 12,537,131.39
  5. Step 5: Solve for x
    x = 12,537,131.39/4,702.50
  6. Step 6: Final answer
    x = 2,666.06

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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.