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Finding the Fourth Proportional to 5,470.27, 7,547.68 and 4,057.22

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Solution

The fourth proportional to 5,470.27, 7,547.68 and 4,057.22 is: 5,598.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,470.27 : 7,547.68 = 4,057.22 : x
  2. Step 2: Convert to fraction form
    5,470.27/7,547.68 = 4,057.22/x
  3. Step 3: Cross multiply
    5,470.27x = 7,547.68 × 4,057.22
  4. Step 4: Simplify right side
    5,470.27x = 30,622,622.19
  5. Step 5: Solve for x
    x = 30,622,622.19/5,470.27
  6. Step 6: Final answer
    x = 5,598.01

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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.