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Finding the Fourth Proportional to 5,204.98, 7,807.47 and 1,742.50

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Solution

The fourth proportional to 5,204.98, 7,807.47 and 1,742.50 is: 2,613.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,204.98 : 7,807.47 = 1,742.50 : x
  2. Step 2: Convert to fraction form
    5,204.98/7,807.47 = 1,742.50/x
  3. Step 3: Cross multiply
    5,204.98x = 7,807.47 × 1,742.50
  4. Step 4: Simplify right side
    5,204.98x = 13,604,516.48
  5. Step 5: Solve for x
    x = 13,604,516.48/5,204.98
  6. Step 6: Final answer
    x = 2,613.75

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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.