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Finding the Fourth Proportional to 5,607.83, 8,419.95 and 4,640.09

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Solution

The fourth proportional to 5,607.83, 8,419.95 and 4,640.09 is: 6,966.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,607.83 : 8,419.95 = 4,640.09 : x
  2. Step 2: Convert to fraction form
    5,607.83/8,419.95 = 4,640.09/x
  3. Step 3: Cross multiply
    5,607.83x = 8,419.95 × 4,640.09
  4. Step 4: Simplify right side
    5,607.83x = 39,069,283.70
  5. Step 5: Solve for x
    x = 39,069,283.70/5,607.83
  6. Step 6: Final answer
    x = 6,966.91

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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.