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Finding the Fourth Proportional to 3,058.16, 4,587.24 and 866.90

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Solution

The fourth proportional to 3,058.16, 4,587.24 and 866.90 is: 1,300.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,058.16 : 4,587.24 = 866.90 : x
  2. Step 2: Convert to fraction form
    3,058.16/4,587.24 = 866.90/x
  3. Step 3: Cross multiply
    3,058.16x = 4,587.24 × 866.90
  4. Step 4: Simplify right side
    3,058.16x = 3,976,678.36
  5. Step 5: Solve for x
    x = 3,976,678.36/3,058.16
  6. Step 6: Final answer
    x = 1,300.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.