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Finding the Fourth Proportional to 4,945.86, 7,417.58 and 1,658.88

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Solution

The fourth proportional to 4,945.86, 7,417.58 and 1,658.88 is: 2,487.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,945.86 : 7,417.58 = 1,658.88 : x
  2. Step 2: Convert to fraction form
    4,945.86/7,417.58 = 1,658.88/x
  3. Step 3: Cross multiply
    4,945.86x = 7,417.58 × 1,658.88
  4. Step 4: Simplify right side
    4,945.86x = 12,304,866.82
  5. Step 5: Solve for x
    x = 12,304,866.82/4,945.86
  6. Step 6: Final answer
    x = 2,487.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.