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Finding the Fourth Proportional to 4,637.83, 6,957.20 and 1,350.95

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Solution

The fourth proportional to 4,637.83, 6,957.20 and 1,350.95 is: 2,026.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,637.83 : 6,957.20 = 1,350.95 : x
  2. Step 2: Convert to fraction form
    4,637.83/6,957.20 = 1,350.95/x
  3. Step 3: Cross multiply
    4,637.83x = 6,957.20 × 1,350.95
  4. Step 4: Simplify right side
    4,637.83x = 9,398,829.34
  5. Step 5: Solve for x
    x = 9,398,829.34/4,637.83
  6. Step 6: Final answer
    x = 2,026.56

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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.