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Finding the Fourth Proportional to 4,671.34, 7,006.85 and 1,897.19

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Solution

The fourth proportional to 4,671.34, 7,006.85 and 1,897.19 is: 2,845.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,671.34 : 7,006.85 = 1,897.19 : x
  2. Step 2: Convert to fraction form
    4,671.34/7,006.85 = 1,897.19/x
  3. Step 3: Cross multiply
    4,671.34x = 7,006.85 × 1,897.19
  4. Step 4: Simplify right side
    4,671.34x = 13,293,325.29
  5. Step 5: Solve for x
    x = 13,293,325.29/4,671.34
  6. Step 6: Final answer
    x = 2,845.72

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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.