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Finding the Fourth Proportional to 3,038.16, 4,557.84 and 958.36

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Solution

The fourth proportional to 3,038.16, 4,557.84 and 958.36 is: 1,437.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,038.16 : 4,557.84 = 958.36 : x
  2. Step 2: Convert to fraction form
    3,038.16/4,557.84 = 958.36/x
  3. Step 3: Cross multiply
    3,038.16x = 4,557.84 × 958.36
  4. Step 4: Simplify right side
    3,038.16x = 4,368,040.37
  5. Step 5: Solve for x
    x = 4,368,040.37/3,038.16
  6. Step 6: Final answer
    x = 1,437.73

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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.