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Finding the Fourth Proportional to 4,916.16, 6,784 and 2,926.88

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Solution

The fourth proportional to 4,916.16, 6,784 and 2,926.88 is: 4,038.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,916.16 : 6,784 = 2,926.88 : x
  2. Step 2: Convert to fraction form
    4,916.16/6,784 = 2,926.88/x
  3. Step 3: Cross multiply
    4,916.16x = 6,784 × 2,926.88
  4. Step 4: Simplify right side
    4,916.16x = 19,855,953.92
  5. Step 5: Solve for x
    x = 19,855,953.92/4,916.16
  6. Step 6: Final answer
    x = 4,038.92

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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.