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Finding the Fourth Proportional to 5,707.14, 7,875.81 and 4,008.03

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Solution

The fourth proportional to 5,707.14, 7,875.81 and 4,008.03 is: 5,531.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,707.14 : 7,875.81 = 4,008.03 : x
  2. Step 2: Convert to fraction form
    5,707.14/7,875.81 = 4,008.03/x
  3. Step 3: Cross multiply
    5,707.14x = 7,875.81 × 4,008.03
  4. Step 4: Simplify right side
    5,707.14x = 31,566,482.75
  5. Step 5: Solve for x
    x = 31,566,482.75/5,707.14
  6. Step 6: Final answer
    x = 5,531.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.