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Finding the Fourth Proportional to 3,656.94, 5,485.40 and 1,710.51

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Solution

The fourth proportional to 3,656.94, 5,485.40 and 1,710.51 is: 2,565.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,656.94 : 5,485.40 = 1,710.51 : x
  2. Step 2: Convert to fraction form
    3,656.94/5,485.40 = 1,710.51/x
  3. Step 3: Cross multiply
    3,656.94x = 5,485.40 × 1,710.51
  4. Step 4: Simplify right side
    3,656.94x = 9,382,831.55
  5. Step 5: Solve for x
    x = 9,382,831.55/3,656.94
  6. Step 6: Final answer
    x = 2,565.76

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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.