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Finding the Fourth Proportional to 4,497.66, 6,206.46 and 2,583.70

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Solution

The fourth proportional to 4,497.66, 6,206.46 and 2,583.70 is: 3,565.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,497.66 : 6,206.46 = 2,583.70 : x
  2. Step 2: Convert to fraction form
    4,497.66/6,206.46 = 2,583.70/x
  3. Step 3: Cross multiply
    4,497.66x = 6,206.46 × 2,583.70
  4. Step 4: Simplify right side
    4,497.66x = 16,035,605.50
  5. Step 5: Solve for x
    x = 16,035,605.50/4,497.66
  6. Step 6: Final answer
    x = 3,565.32

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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.