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Finding the Fourth Proportional to 4,136.40, 6,204.59 and 1,058.40

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Solution

The fourth proportional to 4,136.40, 6,204.59 and 1,058.40 is: 1,587.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,136.40 : 6,204.59 = 1,058.40 : x
  2. Step 2: Convert to fraction form
    4,136.40/6,204.59 = 1,058.40/x
  3. Step 3: Cross multiply
    4,136.40x = 6,204.59 × 1,058.40
  4. Step 4: Simplify right side
    4,136.40x = 6,566,932.76
  5. Step 5: Solve for x
    x = 6,566,932.76/4,136.40
  6. Step 6: Final answer
    x = 1,587.60

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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.