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Finding the Fourth Proportional to 5,699.95, 8,549.53 and 2,740.50

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Solution

The fourth proportional to 5,699.95, 8,549.53 and 2,740.50 is: 4,110.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,699.95 : 8,549.53 = 2,740.50 : x
  2. Step 2: Convert to fraction form
    5,699.95/8,549.53 = 2,740.50/x
  3. Step 3: Cross multiply
    5,699.95x = 8,549.53 × 2,740.50
  4. Step 4: Simplify right side
    5,699.95x = 23,429,980.11
  5. Step 5: Solve for x
    x = 23,429,980.11/5,699.95
  6. Step 6: Final answer
    x = 4,110.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.