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Finding the Fourth Proportional to 5,638.65, 8,417.62 and 4,900.74

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Solution

The fourth proportional to 5,638.65, 8,417.62 and 4,900.74 is: 7,316.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638.65 : 8,417.62 = 4,900.74 : x
  2. Step 2: Convert to fraction form
    5,638.65/8,417.62 = 4,900.74/x
  3. Step 3: Cross multiply
    5,638.65x = 8,417.62 × 4,900.74
  4. Step 4: Simplify right side
    5,638.65x = 41,252,567.04
  5. Step 5: Solve for x
    x = 41,252,567.04/5,638.65
  6. Step 6: Final answer
    x = 7,316.04

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.