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Finding the Fourth Proportional to 5,883.84, 8,827.79 and 3,690.00

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Solution

The fourth proportional to 5,883.84, 8,827.79 and 3,690.00 is: 5,536.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,883.84 : 8,827.79 = 3,690.00 : x
  2. Step 2: Convert to fraction form
    5,883.84/8,827.79 = 3,690.00/x
  3. Step 3: Cross multiply
    5,883.84x = 8,827.79 × 3,690.00
  4. Step 4: Simplify right side
    5,883.84x = 32,574,567.17
  5. Step 5: Solve for x
    x = 32,574,567.17/5,883.84
  6. Step 6: Final answer
    x = 5,536.27

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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.