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Finding the Fourth Proportional to 3,545.64, 5,322.18 and 1,698.30

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Solution

The fourth proportional to 3,545.64, 5,322.18 and 1,698.30 is: 2,549.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,545.64 : 5,322.18 = 1,698.30 : x
  2. Step 2: Convert to fraction form
    3,545.64/5,322.18 = 1,698.30/x
  3. Step 3: Cross multiply
    3,545.64x = 5,322.18 × 1,698.30
  4. Step 4: Simplify right side
    3,545.64x = 9,038,658.29
  5. Step 5: Solve for x
    x = 9,038,658.29/3,545.64
  6. Step 6: Final answer
    x = 2,549.23

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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.