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Finding the Fourth Proportional to 5,216.72, 7,825.18 and 1,706.74

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Solution

The fourth proportional to 5,216.72, 7,825.18 and 1,706.74 is: 2,560.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216.72 : 7,825.18 = 1,706.74 : x
  2. Step 2: Convert to fraction form
    5,216.72/7,825.18 = 1,706.74/x
  3. Step 3: Cross multiply
    5,216.72x = 7,825.18 × 1,706.74
  4. Step 4: Simplify right side
    5,216.72x = 13,355,547.71
  5. Step 5: Solve for x
    x = 13,355,547.71/5,216.72
  6. Step 6: Final answer
    x = 2,560.14

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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.