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Finding the Fourth Proportional to 4,931.65, 6,805.06 and 2,807.46

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Solution

The fourth proportional to 4,931.65, 6,805.06 and 2,807.46 is: 3,873.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,931.65 : 6,805.06 = 2,807.46 : x
  2. Step 2: Convert to fraction form
    4,931.65/6,805.06 = 2,807.46/x
  3. Step 3: Cross multiply
    4,931.65x = 6,805.06 × 2,807.46
  4. Step 4: Simplify right side
    4,931.65x = 19,104,933.75
  5. Step 5: Solve for x
    x = 19,104,933.75/4,931.65
  6. Step 6: Final answer
    x = 3,873.94

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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.