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Finding the Fourth Proportional to 5,740.61, 8,610.93 and 1,580.66

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Solution

The fourth proportional to 5,740.61, 8,610.93 and 1,580.66 is: 2,370.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,740.61 : 8,610.93 = 1,580.66 : x
  2. Step 2: Convert to fraction form
    5,740.61/8,610.93 = 1,580.66/x
  3. Step 3: Cross multiply
    5,740.61x = 8,610.93 × 1,580.66
  4. Step 4: Simplify right side
    5,740.61x = 13,610,952.61
  5. Step 5: Solve for x
    x = 13,610,952.61/5,740.61
  6. Step 6: Final answer
    x = 2,370.99

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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.