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Finding the Fourth Proportional to 5,873.04, 8,809.82 and 2,410

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Solution

The fourth proportional to 5,873.04, 8,809.82 and 2,410 is: 3,615.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,873.04 : 8,809.82 = 2,410 : x
  2. Step 2: Convert to fraction form
    5,873.04/8,809.82 = 2,410/x
  3. Step 3: Cross multiply
    5,873.04x = 8,809.82 × 2,410
  4. Step 4: Simplify right side
    5,873.04x = 21,231,666.20
  5. Step 5: Solve for x
    x = 21,231,666.20/5,873.04
  6. Step 6: Final answer
    x = 3,615.11

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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.