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Finding the Fourth Proportional to 5,878.04, 8,810.34 and 2,411

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Solution

The fourth proportional to 5,878.04, 8,810.34 and 2,411 is: 3,613.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,878.04 : 8,810.34 = 2,411 : x
  2. Step 2: Convert to fraction form
    5,878.04/8,810.34 = 2,411/x
  3. Step 3: Cross multiply
    5,878.04x = 8,810.34 × 2,411
  4. Step 4: Simplify right side
    5,878.04x = 21,241,729.74
  5. Step 5: Solve for x
    x = 21,241,729.74/5,878.04
  6. Step 6: Final answer
    x = 3,613.74

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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.