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Finding the Fourth Proportional to 5,653.34, 7,778.68 and 4,641.33

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Solution

The fourth proportional to 5,653.34, 7,778.68 and 4,641.33 is: 6,386.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,653.34 : 7,778.68 = 4,641.33 : x
  2. Step 2: Convert to fraction form
    5,653.34/7,778.68 = 4,641.33/x
  3. Step 3: Cross multiply
    5,653.34x = 7,778.68 × 4,641.33
  4. Step 4: Simplify right side
    5,653.34x = 36,103,398.89
  5. Step 5: Solve for x
    x = 36,103,398.89/5,653.34
  6. Step 6: Final answer
    x = 6,386.20

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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.