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Finding the Fourth Proportional to 4,574.46, 6,307.02 and 3,734.32

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Solution

The fourth proportional to 4,574.46, 6,307.02 and 3,734.32 is: 5,148.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,574.46 : 6,307.02 = 3,734.32 : x
  2. Step 2: Convert to fraction form
    4,574.46/6,307.02 = 3,734.32/x
  3. Step 3: Cross multiply
    4,574.46x = 6,307.02 × 3,734.32
  4. Step 4: Simplify right side
    4,574.46x = 23,552,430.93
  5. Step 5: Solve for x
    x = 23,552,430.93/4,574.46
  6. Step 6: Final answer
    x = 5,148.68

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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.