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Finding the Fourth Proportional to 6,149.48, 8,464.94 and 4,654.76

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Solution

The fourth proportional to 6,149.48, 8,464.94 and 4,654.76 is: 6,407.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,149.48 : 8,464.94 = 4,654.76 : x
  2. Step 2: Convert to fraction form
    6,149.48/8,464.94 = 4,654.76/x
  3. Step 3: Cross multiply
    6,149.48x = 8,464.94 × 4,654.76
  4. Step 4: Simplify right side
    6,149.48x = 39,402,264.11
  5. Step 5: Solve for x
    x = 39,402,264.11/6,149.48
  6. Step 6: Final answer
    x = 6,407.41

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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.