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Finding the Fourth Proportional to 4,690.46, 6,472.71 and 2,566.00

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Solution

The fourth proportional to 4,690.46, 6,472.71 and 2,566.00 is: 3,541.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,690.46 : 6,472.71 = 2,566.00 : x
  2. Step 2: Convert to fraction form
    4,690.46/6,472.71 = 2,566.00/x
  3. Step 3: Cross multiply
    4,690.46x = 6,472.71 × 2,566.00
  4. Step 4: Simplify right side
    4,690.46x = 16,608,957.68
  5. Step 5: Solve for x
    x = 16,608,957.68/4,690.46
  6. Step 6: Final answer
    x = 3,541.01

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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.