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Finding the Fourth Proportional to 3,487.07, 5,228.16 and 1,295.21

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Solution

The fourth proportional to 3,487.07, 5,228.16 and 1,295.21 is: 1,941.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,487.07 : 5,228.16 = 1,295.21 : x
  2. Step 2: Convert to fraction form
    3,487.07/5,228.16 = 1,295.21/x
  3. Step 3: Cross multiply
    3,487.07x = 5,228.16 × 1,295.21
  4. Step 4: Simplify right side
    3,487.07x = 6,771,565.11
  5. Step 5: Solve for x
    x = 6,771,565.11/3,487.07
  6. Step 6: Final answer
    x = 1,941.91

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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.