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Finding the Fourth Proportional to 4,340.64, 6,507.16 and 1,566.68

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Solution

The fourth proportional to 4,340.64, 6,507.16 and 1,566.68 is: 2,348.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,340.64 : 6,507.16 = 1,566.68 : x
  2. Step 2: Convert to fraction form
    4,340.64/6,507.16 = 1,566.68/x
  3. Step 3: Cross multiply
    4,340.64x = 6,507.16 × 1,566.68
  4. Step 4: Simplify right side
    4,340.64x = 10,194,637.43
  5. Step 5: Solve for x
    x = 10,194,637.43/4,340.64
  6. Step 6: Final answer
    x = 2,348.65

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