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Finding the Fourth Proportional to 4,881.66, 7,322.58 and 1,594.74

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Solution

The fourth proportional to 4,881.66, 7,322.58 and 1,594.74 is: 2,392.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,881.66 : 7,322.58 = 1,594.74 : x
  2. Step 2: Convert to fraction form
    4,881.66/7,322.58 = 1,594.74/x
  3. Step 3: Cross multiply
    4,881.66x = 7,322.58 × 1,594.74
  4. Step 4: Simplify right side
    4,881.66x = 11,677,611.23
  5. Step 5: Solve for x
    x = 11,677,611.23/4,881.66
  6. Step 6: Final answer
    x = 2,392.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.