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Finding the Fourth Proportional to 4,256.67, 6,386.16 and 1,483.50

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Solution

The fourth proportional to 4,256.67, 6,386.16 and 1,483.50 is: 2,225.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,256.67 : 6,386.16 = 1,483.50 : x
  2. Step 2: Convert to fraction form
    4,256.67/6,386.16 = 1,483.50/x
  3. Step 3: Cross multiply
    4,256.67x = 6,386.16 × 1,483.50
  4. Step 4: Simplify right side
    4,256.67x = 9,473,868.36
  5. Step 5: Solve for x
    x = 9,473,868.36/4,256.67
  6. Step 6: Final answer
    x = 2,225.65

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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.