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Finding the Fourth Proportional to 4,807.92, 6,637.93 and 3,686.70

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Solution

The fourth proportional to 4,807.92, 6,637.93 and 3,686.70 is: 5,089.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,807.92 : 6,637.93 = 3,686.70 : x
  2. Step 2: Convert to fraction form
    4,807.92/6,637.93 = 3,686.70/x
  3. Step 3: Cross multiply
    4,807.92x = 6,637.93 × 3,686.70
  4. Step 4: Simplify right side
    4,807.92x = 24,472,047.31
  5. Step 5: Solve for x
    x = 24,472,047.31/4,807.92
  6. Step 6: Final answer
    x = 5,089.94

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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.