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Finding the Fourth Proportional to 3,365.76, 5,050.26 and 1,417.71

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Solution

The fourth proportional to 3,365.76, 5,050.26 and 1,417.71 is: 2,127.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,365.76 : 5,050.26 = 1,417.71 : x
  2. Step 2: Convert to fraction form
    3,365.76/5,050.26 = 1,417.71/x
  3. Step 3: Cross multiply
    3,365.76x = 5,050.26 × 1,417.71
  4. Step 4: Simplify right side
    3,365.76x = 7,159,804.10
  5. Step 5: Solve for x
    x = 7,159,804.10/3,365.76
  6. Step 6: Final answer
    x = 2,127.25

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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.