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Finding the Fourth Proportional to 4,702.32, 7,053.88 and 4,638.33

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Solution

The fourth proportional to 4,702.32, 7,053.88 and 4,638.33 is: 6,957.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.32 : 7,053.88 = 4,638.33 : x
  2. Step 2: Convert to fraction form
    4,702.32/7,053.88 = 4,638.33/x
  3. Step 3: Cross multiply
    4,702.32x = 7,053.88 × 4,638.33
  4. Step 4: Simplify right side
    4,702.32x = 32,718,223.22
  5. Step 5: Solve for x
    x = 32,718,223.22/4,702.32
  6. Step 6: Final answer
    x = 6,957.89

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