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Finding the Fourth Proportional to 3,005.98, 4,508.67 and 1,058.34

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Solution

The fourth proportional to 3,005.98, 4,508.67 and 1,058.34 is: 1,587.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.98 : 4,508.67 = 1,058.34 : x
  2. Step 2: Convert to fraction form
    3,005.98/4,508.67 = 1,058.34/x
  3. Step 3: Cross multiply
    3,005.98x = 4,508.67 × 1,058.34
  4. Step 4: Simplify right side
    3,005.98x = 4,771,705.81
  5. Step 5: Solve for x
    x = 4,771,705.81/3,005.98
  6. Step 6: Final answer
    x = 1,587.40

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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.