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Finding the Fourth Proportional to 3,522.34, 5,284.59 and 2,058.40

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Solution

The fourth proportional to 3,522.34, 5,284.59 and 2,058.40 is: 3,088.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,522.34 : 5,284.59 = 2,058.40 : x
  2. Step 2: Convert to fraction form
    3,522.34/5,284.59 = 2,058.40/x
  3. Step 3: Cross multiply
    3,522.34x = 5,284.59 × 2,058.40
  4. Step 4: Simplify right side
    3,522.34x = 10,877,800.06
  5. Step 5: Solve for x
    x = 10,877,800.06/3,522.34
  6. Step 6: Final answer
    x = 3,088.23

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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.