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Finding the Fourth Proportional to 4,784.40, 7,127.25 and 4,639.32

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Solution

The fourth proportional to 4,784.40, 7,127.25 and 4,639.32 is: 6,911.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,784.40 : 7,127.25 = 4,639.32 : x
  2. Step 2: Convert to fraction form
    4,784.40/7,127.25 = 4,639.32/x
  3. Step 3: Cross multiply
    4,784.40x = 7,127.25 × 4,639.32
  4. Step 4: Simplify right side
    4,784.40x = 33,065,593.47
  5. Step 5: Solve for x
    x = 33,065,593.47/4,784.40
  6. Step 6: Final answer
    x = 6,911.13

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.