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Finding the Fourth Proportional to 5,035.14, 7,549.65 and 4,295.14

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Solution

The fourth proportional to 5,035.14, 7,549.65 and 4,295.14 is: 6,440.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,035.14 : 7,549.65 = 4,295.14 : x
  2. Step 2: Convert to fraction form
    5,035.14/7,549.65 = 4,295.14/x
  3. Step 3: Cross multiply
    5,035.14x = 7,549.65 × 4,295.14
  4. Step 4: Simplify right side
    5,035.14x = 32,426,784.83
  5. Step 5: Solve for x
    x = 32,426,784.83/5,035.14
  6. Step 6: Final answer
    x = 6,440.10

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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.