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Finding the Fourth Proportional to 5,104.95, 7,657.62 and 1,595.28

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Solution

The fourth proportional to 5,104.95, 7,657.62 and 1,595.28 is: 2,392.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,104.95 : 7,657.62 = 1,595.28 : x
  2. Step 2: Convert to fraction form
    5,104.95/7,657.62 = 1,595.28/x
  3. Step 3: Cross multiply
    5,104.95x = 7,657.62 × 1,595.28
  4. Step 4: Simplify right side
    5,104.95x = 12,216,048.03
  5. Step 5: Solve for x
    x = 12,216,048.03/5,104.95
  6. Step 6: Final answer
    x = 2,392.98

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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.