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Finding the Fourth Proportional to 5,483.04, 7,564.68 and 3,804

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Solution

The fourth proportional to 5,483.04, 7,564.68 and 3,804 is: 5,248.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,483.04 : 7,564.68 = 3,804 : x
  2. Step 2: Convert to fraction form
    5,483.04/7,564.68 = 3,804/x
  3. Step 3: Cross multiply
    5,483.04x = 7,564.68 × 3,804
  4. Step 4: Simplify right side
    5,483.04x = 28,776,042.72
  5. Step 5: Solve for x
    x = 28,776,042.72/5,483.04
  6. Step 6: Final answer
    x = 5,248.19

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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.