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Finding the Fourth Proportional to 4,483.16, 6,724.77 and 1,561.45

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Solution

The fourth proportional to 4,483.16, 6,724.77 and 1,561.45 is: 2,342.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,483.16 : 6,724.77 = 1,561.45 : x
  2. Step 2: Convert to fraction form
    4,483.16/6,724.77 = 1,561.45/x
  3. Step 3: Cross multiply
    4,483.16x = 6,724.77 × 1,561.45
  4. Step 4: Simplify right side
    4,483.16x = 10,500,384.31
  5. Step 5: Solve for x
    x = 10,500,384.31/4,483.16
  6. Step 6: Final answer
    x = 2,342.19

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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.