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Finding the Fourth Proportional to 3,598.93, 4,966.63 and 1,984.00

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Solution

The fourth proportional to 3,598.93, 4,966.63 and 1,984.00 is: 2,737.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,598.93 : 4,966.63 = 1,984.00 : x
  2. Step 2: Convert to fraction form
    3,598.93/4,966.63 = 1,984.00/x
  3. Step 3: Cross multiply
    3,598.93x = 4,966.63 × 1,984.00
  4. Step 4: Simplify right side
    3,598.93x = 9,853,801.38
  5. Step 5: Solve for x
    x = 9,853,801.38/3,598.93
  6. Step 6: Final answer
    x = 2,737.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.