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Finding the Fourth Proportional to 4,689.12, 6,475.83 and 4,056.61

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Solution

The fourth proportional to 4,689.12, 6,475.83 and 4,056.61 is: 5,602.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,689.12 : 6,475.83 = 4,056.61 : x
  2. Step 2: Convert to fraction form
    4,689.12/6,475.83 = 4,056.61/x
  3. Step 3: Cross multiply
    4,689.12x = 6,475.83 × 4,056.61
  4. Step 4: Simplify right side
    4,689.12x = 26,269,864.07
  5. Step 5: Solve for x
    x = 26,269,864.07/4,689.12
  6. Step 6: Final answer
    x = 5,602.30

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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.