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Finding the Fourth Proportional to 3,158.98, 4,737.75 and 1,598.53

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Solution

The fourth proportional to 3,158.98, 4,737.75 and 1,598.53 is: 2,397.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,158.98 : 4,737.75 = 1,598.53 : x
  2. Step 2: Convert to fraction form
    3,158.98/4,737.75 = 1,598.53/x
  3. Step 3: Cross multiply
    3,158.98x = 4,737.75 × 1,598.53
  4. Step 4: Simplify right side
    3,158.98x = 7,573,435.51
  5. Step 5: Solve for x
    x = 7,573,435.51/3,158.98
  6. Step 6: Final answer
    x = 2,397.43

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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.