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Finding the Fourth Proportional to 5,011.98, 7,518.69 and 1,549.50

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Solution

The fourth proportional to 5,011.98, 7,518.69 and 1,549.50 is: 2,324.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,011.98 : 7,518.69 = 1,549.50 : x
  2. Step 2: Convert to fraction form
    5,011.98/7,518.69 = 1,549.50/x
  3. Step 3: Cross multiply
    5,011.98x = 7,518.69 × 1,549.50
  4. Step 4: Simplify right side
    5,011.98x = 11,650,210.16
  5. Step 5: Solve for x
    x = 11,650,210.16/5,011.98
  6. Step 6: Final answer
    x = 2,324.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.