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Finding the Fourth Proportional to 4,654.67, 6,415.20 and 4,111.56

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Solution

The fourth proportional to 4,654.67, 6,415.20 and 4,111.56 is: 5,666.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,654.67 : 6,415.20 = 4,111.56 : x
  2. Step 2: Convert to fraction form
    4,654.67/6,415.20 = 4,111.56/x
  3. Step 3: Cross multiply
    4,654.67x = 6,415.20 × 4,111.56
  4. Step 4: Simplify right side
    4,654.67x = 26,376,479.71
  5. Step 5: Solve for x
    x = 26,376,479.71/4,654.67
  6. Step 6: Final answer
    x = 5,666.68

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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.