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Finding the Fourth Proportional to 3,412.03, 4,707 and 2,216.93

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Solution

The fourth proportional to 3,412.03, 4,707 and 2,216.93 is: 3,058.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.03 : 4,707 = 2,216.93 : x
  2. Step 2: Convert to fraction form
    3,412.03/4,707 = 2,216.93/x
  3. Step 3: Cross multiply
    3,412.03x = 4,707 × 2,216.93
  4. Step 4: Simplify right side
    3,412.03x = 10,435,089.51
  5. Step 5: Solve for x
    x = 10,435,089.51/3,412.03
  6. Step 6: Final answer
    x = 3,058.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.