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Finding the Fourth Proportional to 5,636.48, 7,780.48 and 5,045.92

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Solution

The fourth proportional to 5,636.48, 7,780.48 and 5,045.92 is: 6,965.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,636.48 : 7,780.48 = 5,045.92 : x
  2. Step 2: Convert to fraction form
    5,636.48/7,780.48 = 5,045.92/x
  3. Step 3: Cross multiply
    5,636.48x = 7,780.48 × 5,045.92
  4. Step 4: Simplify right side
    5,636.48x = 39,259,679.64
  5. Step 5: Solve for x
    x = 39,259,679.64/5,636.48
  6. Step 6: Final answer
    x = 6,965.28

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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.