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Finding the Fourth Proportional to 5,638.16, 7,775.93 and 4,225.16

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Solution

The fourth proportional to 5,638.16, 7,775.93 and 4,225.16 is: 5,827.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638.16 : 7,775.93 = 4,225.16 : x
  2. Step 2: Convert to fraction form
    5,638.16/7,775.93 = 4,225.16/x
  3. Step 3: Cross multiply
    5,638.16x = 7,775.93 × 4,225.16
  4. Step 4: Simplify right side
    5,638.16x = 32,854,488.39
  5. Step 5: Solve for x
    x = 32,854,488.39/5,638.16
  6. Step 6: Final answer
    x = 5,827.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.