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Finding the Fourth Proportional to 4,686.23, 6,471.83 and 4,053.72

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Solution

The fourth proportional to 4,686.23, 6,471.83 and 4,053.72 is: 5,598.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,686.23 : 6,471.83 = 4,053.72 : x
  2. Step 2: Convert to fraction form
    4,686.23/6,471.83 = 4,053.72/x
  3. Step 3: Cross multiply
    4,686.23x = 6,471.83 × 4,053.72
  4. Step 4: Simplify right side
    4,686.23x = 26,234,972.57
  5. Step 5: Solve for x
    x = 26,234,972.57/4,686.23
  6. Step 6: Final answer
    x = 5,598.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.