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Finding the Fourth Proportional to 4,646.81, 6,970.22 and 2,916.65

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Solution

The fourth proportional to 4,646.81, 6,970.22 and 2,916.65 is: 4,374.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646.81 : 6,970.22 = 2,916.65 : x
  2. Step 2: Convert to fraction form
    4,646.81/6,970.22 = 2,916.65/x
  3. Step 3: Cross multiply
    4,646.81x = 6,970.22 × 2,916.65
  4. Step 4: Simplify right side
    4,646.81x = 20,329,705.94
  5. Step 5: Solve for x
    x = 20,329,705.94/4,646.81
  6. Step 6: Final answer
    x = 4,374.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.