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Finding the Fourth Proportional to 3,503.96, 5,257.98 and 1,530.87

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Solution

The fourth proportional to 3,503.96, 5,257.98 and 1,530.87 is: 2,297.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,503.96 : 5,257.98 = 1,530.87 : x
  2. Step 2: Convert to fraction form
    3,503.96/5,257.98 = 1,530.87/x
  3. Step 3: Cross multiply
    3,503.96x = 5,257.98 × 1,530.87
  4. Step 4: Simplify right side
    3,503.96x = 8,049,264.13
  5. Step 5: Solve for x
    x = 8,049,264.13/3,503.96
  6. Step 6: Final answer
    x = 2,297.19

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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.