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Finding the Fourth Proportional to 5,894.84, 8,840.02 and 2,971.14

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Solution

The fourth proportional to 5,894.84, 8,840.02 and 2,971.14 is: 4,455.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,894.84 : 8,840.02 = 2,971.14 : x
  2. Step 2: Convert to fraction form
    5,894.84/8,840.02 = 2,971.14/x
  3. Step 3: Cross multiply
    5,894.84x = 8,840.02 × 2,971.14
  4. Step 4: Simplify right side
    5,894.84x = 26,264,937.02
  5. Step 5: Solve for x
    x = 26,264,937.02/5,894.84
  6. Step 6: Final answer
    x = 4,455.58

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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.