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Finding the Fourth Proportional to 3,295.14, 4,547.49 and 1,897.98

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Solution

The fourth proportional to 3,295.14, 4,547.49 and 1,897.98 is: 2,619.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,295.14 : 4,547.49 = 1,897.98 : x
  2. Step 2: Convert to fraction form
    3,295.14/4,547.49 = 1,897.98/x
  3. Step 3: Cross multiply
    3,295.14x = 4,547.49 × 1,897.98
  4. Step 4: Simplify right side
    3,295.14x = 8,631,045.07
  5. Step 5: Solve for x
    x = 8,631,045.07/3,295.14
  6. Step 6: Final answer
    x = 2,619.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.