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Finding the Fourth Proportional to 5,303.94, 7,335.31 and 4,639.63

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Solution

The fourth proportional to 5,303.94, 7,335.31 and 4,639.63 is: 6,416.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,303.94 : 7,335.31 = 4,639.63 : x
  2. Step 2: Convert to fraction form
    5,303.94/7,335.31 = 4,639.63/x
  3. Step 3: Cross multiply
    5,303.94x = 7,335.31 × 4,639.63
  4. Step 4: Simplify right side
    5,303.94x = 34,033,124.34
  5. Step 5: Solve for x
    x = 34,033,124.34/5,303.94
  6. Step 6: Final answer
    x = 6,416.57

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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.