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Finding the Fourth Proportional to 4,852.58, 7,279.90 and 1,565.55

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Solution

The fourth proportional to 4,852.58, 7,279.90 and 1,565.55 is: 2,348.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,852.58 : 7,279.90 = 1,565.55 : x
  2. Step 2: Convert to fraction form
    4,852.58/7,279.90 = 1,565.55/x
  3. Step 3: Cross multiply
    4,852.58x = 7,279.90 × 1,565.55
  4. Step 4: Simplify right side
    4,852.58x = 11,397,043.53
  5. Step 5: Solve for x
    x = 11,397,043.53/4,852.58
  6. Step 6: Final answer
    x = 2,348.66

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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.