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Finding the Fourth Proportional to 3,931.13, 5,897.04 and 1,298.08

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Solution

The fourth proportional to 3,931.13, 5,897.04 and 1,298.08 is: 1,947.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,931.13 : 5,897.04 = 1,298.08 : x
  2. Step 2: Convert to fraction form
    3,931.13/5,897.04 = 1,298.08/x
  3. Step 3: Cross multiply
    3,931.13x = 5,897.04 × 1,298.08
  4. Step 4: Simplify right side
    3,931.13x = 7,654,804.49
  5. Step 5: Solve for x
    x = 7,654,804.49/3,931.13
  6. Step 6: Final answer
    x = 1,947.23

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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.