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Finding the Fourth Proportional to 5,468.70, 7,547.67 and 3,477.18

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Solution

The fourth proportional to 5,468.70, 7,547.67 and 3,477.18 is: 4,799.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,468.70 : 7,547.67 = 3,477.18 : x
  2. Step 2: Convert to fraction form
    5,468.70/7,547.67 = 3,477.18/x
  3. Step 3: Cross multiply
    5,468.70x = 7,547.67 × 3,477.18
  4. Step 4: Simplify right side
    5,468.70x = 26,244,607.17
  5. Step 5: Solve for x
    x = 26,244,607.17/5,468.70
  6. Step 6: Final answer
    x = 4,799.06

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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.