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Finding the Fourth Proportional to 5,953.66, 8,931.18 and 2,258.65

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Solution

The fourth proportional to 5,953.66, 8,931.18 and 2,258.65 is: 3,388.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,953.66 : 8,931.18 = 2,258.65 : x
  2. Step 2: Convert to fraction form
    5,953.66/8,931.18 = 2,258.65/x
  3. Step 3: Cross multiply
    5,953.66x = 8,931.18 × 2,258.65
  4. Step 4: Simplify right side
    5,953.66x = 20,172,409.71
  5. Step 5: Solve for x
    x = 20,172,409.71/5,953.66
  6. Step 6: Final answer
    x = 3,388.24

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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.