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Finding the Fourth Proportional to 4,716.65, 7,021.08 and 4,646.58

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Solution

The fourth proportional to 4,716.65, 7,021.08 and 4,646.58 is: 6,916.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,716.65 : 7,021.08 = 4,646.58 : x
  2. Step 2: Convert to fraction form
    4,716.65/7,021.08 = 4,646.58/x
  3. Step 3: Cross multiply
    4,716.65x = 7,021.08 × 4,646.58
  4. Step 4: Simplify right side
    4,716.65x = 32,624,009.91
  5. Step 5: Solve for x
    x = 32,624,009.91/4,716.65
  6. Step 6: Final answer
    x = 6,916.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.