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Finding the Fourth Proportional to 4,271.66, 6,403.06 and 2,077.66

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Solution

The fourth proportional to 4,271.66, 6,403.06 and 2,077.66 is: 3,114.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,271.66 : 6,403.06 = 2,077.66 : x
  2. Step 2: Convert to fraction form
    4,271.66/6,403.06 = 2,077.66/x
  3. Step 3: Cross multiply
    4,271.66x = 6,403.06 × 2,077.66
  4. Step 4: Simplify right side
    4,271.66x = 13,303,381.64
  5. Step 5: Solve for x
    x = 13,303,381.64/4,271.66
  6. Step 6: Final answer
    x = 3,114.34

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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.