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Finding the Fourth Proportional to 4,538.70, 6,265.35 and 4,295.70

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Solution

The fourth proportional to 4,538.70, 6,265.35 and 4,295.70 is: 5,929.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,538.70 : 6,265.35 = 4,295.70 : x
  2. Step 2: Convert to fraction form
    4,538.70/6,265.35 = 4,295.70/x
  3. Step 3: Cross multiply
    4,538.70x = 6,265.35 × 4,295.70
  4. Step 4: Simplify right side
    4,538.70x = 26,914,064.00
  5. Step 5: Solve for x
    x = 26,914,064.00/4,538.70
  6. Step 6: Final answer
    x = 5,929.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.