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Finding the Fourth Proportional to 4,205.60, 6,271.24 and 4,168.08

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Solution

The fourth proportional to 4,205.60, 6,271.24 and 4,168.08 is: 6,215.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,205.60 : 6,271.24 = 4,168.08 : x
  2. Step 2: Convert to fraction form
    4,205.60/6,271.24 = 4,168.08/x
  3. Step 3: Cross multiply
    4,205.60x = 6,271.24 × 4,168.08
  4. Step 4: Simplify right side
    4,205.60x = 26,139,030.02
  5. Step 5: Solve for x
    x = 26,139,030.02/4,205.60
  6. Step 6: Final answer
    x = 6,215.29

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.