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Finding the Fourth Proportional to 4,637.76, 6,400.17 and 2,541.93

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Solution

The fourth proportional to 4,637.76, 6,400.17 and 2,541.93 is: 3,507.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,637.76 : 6,400.17 = 2,541.93 : x
  2. Step 2: Convert to fraction form
    4,637.76/6,400.17 = 2,541.93/x
  3. Step 3: Cross multiply
    4,637.76x = 6,400.17 × 2,541.93
  4. Step 4: Simplify right side
    4,637.76x = 16,268,784.13
  5. Step 5: Solve for x
    x = 16,268,784.13/4,637.76
  6. Step 6: Final answer
    x = 3,507.90

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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.