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Finding the Fourth Proportional to 3,569.98, 5,354.42 and 973.12

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Solution

The fourth proportional to 3,569.98, 5,354.42 and 973.12 is: 1,459.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,569.98 : 5,354.42 = 973.12 : x
  2. Step 2: Convert to fraction form
    3,569.98/5,354.42 = 973.12/x
  3. Step 3: Cross multiply
    3,569.98x = 5,354.42 × 973.12
  4. Step 4: Simplify right side
    3,569.98x = 5,210,493.19
  5. Step 5: Solve for x
    x = 5,210,493.19/3,569.98
  6. Step 6: Final answer
    x = 1,459.53

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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.