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Finding the Fourth Proportional to 5,894.04, 8,827.05 and 4,952.40

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Solution

The fourth proportional to 5,894.04, 8,827.05 and 4,952.40 is: 7,416.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,894.04 : 8,827.05 = 4,952.40 : x
  2. Step 2: Convert to fraction form
    5,894.04/8,827.05 = 4,952.40/x
  3. Step 3: Cross multiply
    5,894.04x = 8,827.05 × 4,952.40
  4. Step 4: Simplify right side
    5,894.04x = 43,715,082.42
  5. Step 5: Solve for x
    x = 43,715,082.42/5,894.04
  6. Step 6: Final answer
    x = 7,416.83

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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.