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Finding the Fourth Proportional to 4,575.56, 6,859.68 and 1,802.92

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Solution

The fourth proportional to 4,575.56, 6,859.68 and 1,802.92 is: 2,702.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,575.56 : 6,859.68 = 1,802.92 : x
  2. Step 2: Convert to fraction form
    4,575.56/6,859.68 = 1,802.92/x
  3. Step 3: Cross multiply
    4,575.56x = 6,859.68 × 1,802.92
  4. Step 4: Simplify right side
    4,575.56x = 12,367,454.27
  5. Step 5: Solve for x
    x = 12,367,454.27/4,575.56
  6. Step 6: Final answer
    x = 2,702.94

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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.