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Finding the Fourth Proportional to 3,111.94, 4,665.03 and 1,058.50

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Solution

The fourth proportional to 3,111.94, 4,665.03 and 1,058.50 is: 1,586.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,111.94 : 4,665.03 = 1,058.50 : x
  2. Step 2: Convert to fraction form
    3,111.94/4,665.03 = 1,058.50/x
  3. Step 3: Cross multiply
    3,111.94x = 4,665.03 × 1,058.50
  4. Step 4: Simplify right side
    3,111.94x = 4,937,934.26
  5. Step 5: Solve for x
    x = 4,937,934.26/3,111.94
  6. Step 6: Final answer
    x = 1,586.77

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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.