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Finding the Fourth Proportional to 3,656.14, 5,484.75 and 1,058.74

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Solution

The fourth proportional to 3,656.14, 5,484.75 and 1,058.74 is: 1,588.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,656.14 : 5,484.75 = 1,058.74 : x
  2. Step 2: Convert to fraction form
    3,656.14/5,484.75 = 1,058.74/x
  3. Step 3: Cross multiply
    3,656.14x = 5,484.75 × 1,058.74
  4. Step 4: Simplify right side
    3,656.14x = 5,806,924.22
  5. Step 5: Solve for x
    x = 5,806,924.22/3,656.14
  6. Step 6: Final answer
    x = 1,588.27

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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.