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Finding the Fourth Proportional to 3,655.75, 5,484.16 and 1,058.35

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Solution

The fourth proportional to 3,655.75, 5,484.16 and 1,058.35 is: 1,587.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,655.75 : 5,484.16 = 1,058.35 : x
  2. Step 2: Convert to fraction form
    3,655.75/5,484.16 = 1,058.35/x
  3. Step 3: Cross multiply
    3,655.75x = 5,484.16 × 1,058.35
  4. Step 4: Simplify right side
    3,655.75x = 5,804,161.61
  5. Step 5: Solve for x
    x = 5,804,161.61/3,655.75
  6. Step 6: Final answer
    x = 1,587.68

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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.