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Finding the Fourth Proportional to 6,569.57, 9,066.20 and 3,585.60

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Solution

The fourth proportional to 6,569.57, 9,066.20 and 3,585.60 is: 4,948.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,569.57 : 9,066.20 = 3,585.60 : x
  2. Step 2: Convert to fraction form
    6,569.57/9,066.20 = 3,585.60/x
  3. Step 3: Cross multiply
    6,569.57x = 9,066.20 × 3,585.60
  4. Step 4: Simplify right side
    6,569.57x = 32,507,703.46
  5. Step 5: Solve for x
    x = 32,507,703.46/6,569.57
  6. Step 6: Final answer
    x = 4,948.22

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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.