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Finding the Fourth Proportional to 4,916.61, 6,784.90 and 2,678.51

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Solution

The fourth proportional to 4,916.61, 6,784.90 and 2,678.51 is: 3,696.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,916.61 : 6,784.90 = 2,678.51 : x
  2. Step 2: Convert to fraction form
    4,916.61/6,784.90 = 2,678.51/x
  3. Step 3: Cross multiply
    4,916.61x = 6,784.90 × 2,678.51
  4. Step 4: Simplify right side
    4,916.61x = 18,173,432.76
  5. Step 5: Solve for x
    x = 18,173,432.76/4,916.61
  6. Step 6: Final answer
    x = 3,696.33

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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.