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Finding the Fourth Proportional to 3,655.57, 5,480.49 and 1,315.18

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Solution

The fourth proportional to 3,655.57, 5,480.49 and 1,315.18 is: 1,971.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,655.57 : 5,480.49 = 1,315.18 : x
  2. Step 2: Convert to fraction form
    3,655.57/5,480.49 = 1,315.18/x
  3. Step 3: Cross multiply
    3,655.57x = 5,480.49 × 1,315.18
  4. Step 4: Simplify right side
    3,655.57x = 7,207,830.84
  5. Step 5: Solve for x
    x = 7,207,830.84/3,655.57
  6. Step 6: Final answer
    x = 1,971.74

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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.