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Finding the Fourth Proportional to 4,664.63, 6,437.65 and 3,483.65

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Solution

The fourth proportional to 4,664.63, 6,437.65 and 3,483.65 is: 4,807.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,664.63 : 6,437.65 = 3,483.65 : x
  2. Step 2: Convert to fraction form
    4,664.63/6,437.65 = 3,483.65/x
  3. Step 3: Cross multiply
    4,664.63x = 6,437.65 × 3,483.65
  4. Step 4: Simplify right side
    4,664.63x = 22,426,526.81
  5. Step 5: Solve for x
    x = 22,426,526.81/4,664.63
  6. Step 6: Final answer
    x = 4,807.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.