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Finding the Fourth Proportional to 3,587.34, 5,381.00 and 1,122.15

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Solution

The fourth proportional to 3,587.34, 5,381.00 and 1,122.15 is: 1,683.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,587.34 : 5,381.00 = 1,122.15 : x
  2. Step 2: Convert to fraction form
    3,587.34/5,381.00 = 1,122.15/x
  3. Step 3: Cross multiply
    3,587.34x = 5,381.00 × 1,122.15
  4. Step 4: Simplify right side
    3,587.34x = 6,038,307.93
  5. Step 5: Solve for x
    x = 6,038,307.93/3,587.34
  6. Step 6: Final answer
    x = 1,683.23

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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.