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Finding the Fourth Proportional to 3,345.37, 5,017.66 and 880.38

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Solution

The fourth proportional to 3,345.37, 5,017.66 and 880.38 is: 1,320.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,345.37 : 5,017.66 = 880.38 : x
  2. Step 2: Convert to fraction form
    3,345.37/5,017.66 = 880.38/x
  3. Step 3: Cross multiply
    3,345.37x = 5,017.66 × 880.38
  4. Step 4: Simplify right side
    3,345.37x = 4,417,447.51
  5. Step 5: Solve for x
    x = 4,417,447.51/3,345.37
  6. Step 6: Final answer
    x = 1,320.47

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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.