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Finding the Fourth Proportional to 3,038.76, 4,557.24 and 846.96

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Solution

The fourth proportional to 3,038.76, 4,557.24 and 846.96 is: 1,270.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,038.76 : 4,557.24 = 846.96 : x
  2. Step 2: Convert to fraction form
    3,038.76/4,557.24 = 846.96/x
  3. Step 3: Cross multiply
    3,038.76x = 4,557.24 × 846.96
  4. Step 4: Simplify right side
    3,038.76x = 3,859,799.99
  5. Step 5: Solve for x
    x = 3,859,799.99/3,038.76
  6. Step 6: Final answer
    x = 1,270.19

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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.