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Finding the Fourth Proportional to 4,685.94, 7,030.08 and 1,398.78

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Solution

The fourth proportional to 4,685.94, 7,030.08 and 1,398.78 is: 2,098.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,685.94 : 7,030.08 = 1,398.78 : x
  2. Step 2: Convert to fraction form
    4,685.94/7,030.08 = 1,398.78/x
  3. Step 3: Cross multiply
    4,685.94x = 7,030.08 × 1,398.78
  4. Step 4: Simplify right side
    4,685.94x = 9,833,535.30
  5. Step 5: Solve for x
    x = 9,833,535.30/4,685.94
  6. Step 6: Final answer
    x = 2,098.52

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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.