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Finding the Fourth Proportional to 5,931.40, 8,897.54 and 1,771.08

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Solution

The fourth proportional to 5,931.40, 8,897.54 and 1,771.08 is: 2,656.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,931.40 : 8,897.54 = 1,771.08 : x
  2. Step 2: Convert to fraction form
    5,931.40/8,897.54 = 1,771.08/x
  3. Step 3: Cross multiply
    5,931.40x = 8,897.54 × 1,771.08
  4. Step 4: Simplify right side
    5,931.40x = 15,758,255.14
  5. Step 5: Solve for x
    x = 15,758,255.14/5,931.40
  6. Step 6: Final answer
    x = 2,656.75

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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.