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Finding the Fourth Proportional to 3,931.74, 5,864.40 and 3,703.32

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Solution

The fourth proportional to 3,931.74, 5,864.40 and 3,703.32 is: 5,523.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,931.74 : 5,864.40 = 3,703.32 : x
  2. Step 2: Convert to fraction form
    3,931.74/5,864.40 = 3,703.32/x
  3. Step 3: Cross multiply
    3,931.74x = 5,864.40 × 3,703.32
  4. Step 4: Simplify right side
    3,931.74x = 21,717,749.81
  5. Step 5: Solve for x
    x = 21,717,749.81/3,931.74
  6. Step 6: Final answer
    x = 5,523.70

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.