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Finding the Fourth Proportional to 4,859.40, 7,289.82 and 1,897.26

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Solution

The fourth proportional to 4,859.40, 7,289.82 and 1,897.26 is: 2,846.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,859.40 : 7,289.82 = 1,897.26 : x
  2. Step 2: Convert to fraction form
    4,859.40/7,289.82 = 1,897.26/x
  3. Step 3: Cross multiply
    4,859.40x = 7,289.82 × 1,897.26
  4. Step 4: Simplify right side
    4,859.40x = 13,830,683.89
  5. Step 5: Solve for x
    x = 13,830,683.89/4,859.40
  6. Step 6: Final answer
    x = 2,846.17

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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.