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Finding the Fourth Proportional to 3,159.63, 4,737.42 and 1,312.02

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Solution

The fourth proportional to 3,159.63, 4,737.42 and 1,312.02 is: 1,967.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,159.63 : 4,737.42 = 1,312.02 : x
  2. Step 2: Convert to fraction form
    3,159.63/4,737.42 = 1,312.02/x
  3. Step 3: Cross multiply
    3,159.63x = 4,737.42 × 1,312.02
  4. Step 4: Simplify right side
    3,159.63x = 6,215,583.23
  5. Step 5: Solve for x
    x = 6,215,583.23/3,159.63
  6. Step 6: Final answer
    x = 1,967.19

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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.