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Finding the Fourth Proportional to 5,666.61, 8,499.90 and 1,506.62

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Solution

The fourth proportional to 5,666.61, 8,499.90 and 1,506.62 is: 2,259.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,666.61 : 8,499.90 = 1,506.62 : x
  2. Step 2: Convert to fraction form
    5,666.61/8,499.90 = 1,506.62/x
  3. Step 3: Cross multiply
    5,666.61x = 8,499.90 × 1,506.62
  4. Step 4: Simplify right side
    5,666.61x = 12,806,095.25
  5. Step 5: Solve for x
    x = 12,806,095.25/5,666.61
  6. Step 6: Final answer
    x = 2,259.92

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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.