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Finding the Fourth Proportional to 5,567.84, 8,354.20 and 4,828.19

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Solution

The fourth proportional to 5,567.84, 8,354.20 and 4,828.19 is: 7,244.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,567.84 : 8,354.20 = 4,828.19 : x
  2. Step 2: Convert to fraction form
    5,567.84/8,354.20 = 4,828.19/x
  3. Step 3: Cross multiply
    5,567.84x = 8,354.20 × 4,828.19
  4. Step 4: Simplify right side
    5,567.84x = 40,335,673.71
  5. Step 5: Solve for x
    x = 40,335,673.71/5,567.84
  6. Step 6: Final answer
    x = 7,244.40

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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.