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Finding the Fourth Proportional to 4,685.93, 7,029.80 and 1,398.95

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Solution

The fourth proportional to 4,685.93, 7,029.80 and 1,398.95 is: 2,098.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,685.93 : 7,029.80 = 1,398.95 : x
  2. Step 2: Convert to fraction form
    4,685.93/7,029.80 = 1,398.95/x
  3. Step 3: Cross multiply
    4,685.93x = 7,029.80 × 1,398.95
  4. Step 4: Simplify right side
    4,685.93x = 9,834,338.71
  5. Step 5: Solve for x
    x = 9,834,338.71/4,685.93
  6. Step 6: Final answer
    x = 2,098.70

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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.