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Finding the Fourth Proportional to 3,513.59, 5,271.74 and 1,564.46

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Solution

The fourth proportional to 3,513.59, 5,271.74 and 1,564.46 is: 2,347.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,513.59 : 5,271.74 = 1,564.46 : x
  2. Step 2: Convert to fraction form
    3,513.59/5,271.74 = 1,564.46/x
  3. Step 3: Cross multiply
    3,513.59x = 5,271.74 × 1,564.46
  4. Step 4: Simplify right side
    3,513.59x = 8,247,403.91
  5. Step 5: Solve for x
    x = 8,247,403.91/3,513.59
  6. Step 6: Final answer
    x = 2,347.29

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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.