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Finding the Fourth Proportional to 5,897.60, 8,837.48 and 3,946.32

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Solution

The fourth proportional to 5,897.60, 8,837.48 and 3,946.32 is: 5,913.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,897.60 : 8,837.48 = 3,946.32 : x
  2. Step 2: Convert to fraction form
    5,897.60/8,837.48 = 3,946.32/x
  3. Step 3: Cross multiply
    5,897.60x = 8,837.48 × 3,946.32
  4. Step 4: Simplify right side
    5,897.60x = 34,875,524.07
  5. Step 5: Solve for x
    x = 34,875,524.07/5,897.60
  6. Step 6: Final answer
    x = 5,913.51

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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.