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Finding the Fourth Proportional to 5,303.71, 7,317.90 and 3,415.94

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Solution

The fourth proportional to 5,303.71, 7,317.90 and 3,415.94 is: 4,713.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,303.71 : 7,317.90 = 3,415.94 : x
  2. Step 2: Convert to fraction form
    5,303.71/7,317.90 = 3,415.94/x
  3. Step 3: Cross multiply
    5,303.71x = 7,317.90 × 3,415.94
  4. Step 4: Simplify right side
    5,303.71x = 24,997,498.18
  5. Step 5: Solve for x
    x = 24,997,498.18/5,303.71
  6. Step 6: Final answer
    x = 4,713.21

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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.